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Mohanty, Ranjan Kumar

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Author ID: mohanty.ranjan-kumar Recent zbMATH articles by "Mohanty, Ranjan Kumar"
Published as: Mohanty, R. K.; Mohanty, Ranjan Kumar; Mohanty, Ranjan K.
Homepage: http://www.sau.int/faculty/faculty-profile.html?staff_id=41
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Serials

33 Applied Mathematics and Computation
32 International Journal of Computer Mathematics
19 Numerical Methods for Partial Differential Equations
10 Advances in Difference Equations
9 Journal of Computational and Applied Mathematics
8 Neural, Parallel & Scientific Computations
5 Applied Mathematical Modelling
5 Differential Equations and Dynamical Systems
4 Journal of Difference Equations and Applications
3 Numerical Algorithms
3 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
3 Advances in Numerical Analysis
3 East Asian Journal on Applied Mathematics
2 Applied Numerical Mathematics
2 Applied Mathematics Letters
2 Computational Mathematics and Modeling
2 Computational and Applied Mathematics
2 Journal of the Egyptian Mathematical Society
2 Journal of Computational Methods in Sciences and Engineering
2 International Journal of Computational Methods
1 Computers & Mathematics with Applications
1 Journal of Mathematical and Physical Sciences
1 Parallel Algorithms and Applications
1 Italian Journal of Pure and Applied Mathematics
1 International Journal of Applied Mathematics
1 Physica Scripta
1 Matematicheskoe Modelirovanie
1 Computational Methods in Applied Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 International Journal of Numerical Analysis and Modeling
1 International Journal of Contemporary Mathematical Sciences
1 Mathematics in Computer Science
1 Applied Mathematical Sciences (Ruse)
1 Communications in Computational Physics
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Numerical Mathematics: Theory, Methods and Applications
1 International Journal of Nonlinear Science
1 Advances in Mathematical Physics
1 Open Journal of Discrete Mathematics
1 ISRN Mathematical Physics
1 ISRN Computational Mathematics
1 Journal of Applied Analysis and Computation
1 Mathematical Sciences
1 Journal of Computational Methods in Physics
1 International Journal of Applied and Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 1,257 times in 421 Documents Cited by Year
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. Zbl 1181.65112
Mohanty, R. K.
68
2009
An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions. Zbl 0995.65093
Mohanty, R. K.; Jain, M. K.; Arora, Urvashi
58
2002
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101
Mohanty, R. K.; Jain, M. K.
57
2001
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Zbl 1046.65076
Mohanty, R. K.
56
2004
On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients. Zbl 0877.65066
Mohanty, R. K.; Jain, M. K.; George, Kochurani
45
1996
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. Zbl 1070.65076
Mohanty, R. K.
33
2005
A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103
Mohanty, R. K.; Singh, Swarn
28
2006
A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity. Zbl 1071.65113
Mohanty, R. K.
25
2005
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1077.65093
Mohanty, R. K.
24
2004
A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation. Zbl 0715.65067
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
24
1990
An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Zbl 1060.65080
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit
23
2004
A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives. Zbl 1088.65071
Mohanty, R. K.; Arora, Urvashi
22
2006
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Zbl 1082.65550
Mohanty, R. K.; Jha, Navnit
20
2005
Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations. Zbl 0735.65072
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
20
1991
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms. Zbl 1122.65381
Mohanty, R. K.
19
2007
Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems. Zbl 0885.65110
Mohanty, R. K.
18
1997
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations. Zbl 1244.65127
Mohanty, R. K.; Gopal, Venu
17
2011
High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients. Zbl 0856.65098
Mohanty, R. K.; Jain, M. K.; George, Kochurani
17
1996
A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\). Zbl 1104.65315
Mohanty, R. K.
17
2006
High order difference methods for system of 1-D nonlinear parabolic partial differential equations. Zbl 0734.65074
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
16
1990
The numerical solution of the system of 3-D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth-order difference methods. Zbl 0827.65102
Mohanty, R. K.; Jain, M. K.
16
1995
A fourth-order difference method for elliptic equations with nonlinear first derivative terms. Zbl 0673.65055
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
16
1989
Alternating group explicit method for the numerical solution of non-linear singular two-point boundary value problems using a fourth order finite difference method. Zbl 1003.65088
Evans, D. J.; Mohanty, R. K.
15
2002
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems. Zbl 1058.65077
Mohanty, R. K.; Jha, Navnit; Evans, D. J.
15
2004
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems. Zbl 1065.65097
Mohanty, R. K.; Evans, D. J.; Arora, Urvashi
15
2005
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Zbl 1063.65084
Mohanty, R. K.
15
2005
Fourth-order finite difference method for three-dimensional elliptic equations with nonlinear first-derivative terms. Zbl 0759.65065
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
14
1992
Single cell finite difference approximations of \(O(kh^2 +h^4)\) for \({\partial u}\over{\partial x}\) for one space dimensional nonlinear parabolic equation. Zbl 0959.65100
Mohanty, R. K.; Jain, M. K.; Kumar, Dinesh
14
2000
A fourth order accurate cubic spline alternating group explicit method for non-linear singular two point boundary value problems. Zbl 1020.65039
Mohanty, R. K.; Evans, D. J.
13
2003
High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems. Zbl 1349.65569
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika
13
2013
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. Zbl 1117.65349
Mohanty, R. K.; Khosla, N.
12
2005
An \(O(k^ 2+ h^ 4)\) finite difference method for one-space Burgers equation in polar coordinates. Zbl 0861.65074
Mohanty, R. K.
12
1996
Fourth order finite difference methods for the system of 2-D nonlinear elliptic equations with variable coefficients. Zbl 0816.76060
Mohanty, R. K.
12
1992
A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind. Zbl 0963.65083
Mohanty, R. K.
12
2000
An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105
Mohanty, R. K.
12
2007
An \(O(k^{2} + kh^{2} + h^{4})\) arithmetic average discretization for the solution of 1-D nonlinear parabolic equations. Zbl 1116.65105
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi
12
2007
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. Zbl 0933.65124
Evans, D. J.; Mohanty, R. K.
11
1998
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. Zbl 0845.65046
Mohanty, R. K.; George, Kochurani; Jain, M. K.
11
1995
A new highly accurate discretization for three-dimensional singularly perturbed nonlinear elliptic partial differential equations. Zbl 1108.65105
Mohanty, R. K.; Singh, Swarn
11
2006
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Zbl 1172.65047
Mohanty, R. K.; Jain, M. K.
11
2009
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems. Zbl 1088.65072
Mohanty, R. K.; Khosla, Noopur
10
2006
Fourth-order approximation for the three space dimensional certain mildly quasi-linear hyperbolic equation. Zbl 0982.65096
Mohanty, R. K.; Arora, Urvashi; Jain, M. K.
10
2001
Linear stability analysis and fourth-order approximations at first time level for the two space dimensional mildly quasilinear hyperbolic equations. Zbl 0990.65102
Mohanty, R. K.; Arora, Urvashi; Jain, M. K.
10
2001
A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations. Zbl 1352.65254
Mohanty, R. K.; Gopal, Venu
10
2013
Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions. Zbl 0863.65067
Mohanty, R. K.; Pandey, P. K.
9
1996
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Zbl 1334.65172
Mohanty, R. K.; Gopal, Venu
8
2014
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140
Mohanty, R. K.; Kumar, Ravindra
8
2014
A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations. Zbl 1380.65327
Mohanty, Ranjan K.; Setia, Nikita
8
2013
An \(O(h_k^3)\) non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. Zbl 1075.65102
Mohanty, R. K.; Evans, D. J.; Khosla, Noopur
8
2005
A new finite difference discretization of order four for \((\partial u/\partial n)\) for two-dimensional quasi-linear elliptic boundary value problem. Zbl 0992.65116
Mohanty, R. K.; Dey, Shivani
8
2001
Fourth-order approximations at first time level, linear stability analysis and the numerical solution of multidimensional second-order nonlinear hyperbolic equations in polar coordinates. Zbl 0932.65092
Mohanty, R. K.; Jain, M. K.; George, Kochurani
7
1998
High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients. Zbl 0873.65085
Mohanty, R. K.; Jain, M. K.
7
1996
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. Zbl 1410.65320
Mohanty, R. K.; Kaur, Deepti
7
2016
A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations. Zbl 1426.65155
Mohanty, R. K.; Setia, Nikita
6
2013
A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089
Arora, Urvashi; Karaa, Samir; Mohanty, R. K.
6
2006
A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations. Zbl 1419.35126
Mohanty, Ranjan Kumar; Kaur, Deepti
6
2016
A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations. Zbl 1380.65169
Mohanty, Ranjan K.; Gopal, Venu
6
2013
TAGE method for nonlinear singular two point boundary value problem using a fourth order difference scheme. Zbl 1047.65057
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit
6
2003
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179
Mohanty, R. K.; Dai, Weizhong; Liu, Don
6
2015
New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates. Zbl 1292.65090
Gopal, Venu; Mohanty, R. K.; Jha, Navnit
6
2013
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Zbl 1410.65404
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn
5
2015
A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates. Zbl 1311.65110
Gopal, Venu; Mohanty, R. K.; Saha, L. M.
5
2014
A new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic equations. Zbl 1242.35015
Mohanty, R. K.; Singh, Suruchi
5
2011
Fourth order operator splitting method for the three space parabolic equation with variable coefficients. Zbl 0824.65090
Mohanty, R. K.; Jain, M. K.
5
1994
A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization. Zbl 1102.65083
Mohanty, R. K.; Arora, Urvashi
5
2006
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. Zbl 1064.65064
Evans, D. J.; Mohanty, R. K.
5
2005
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an \(O(k^2+h^4)\) difference method. Zbl 1064.65097
Mohanty, R. K.; Evans, D. J.
5
2005
Finite difference methods of order two and four for 2-D nonlinear biharmonic problems of first kind. Zbl 1001.65525
Mohanty, R. K.; Jain, M. K.; Pandey, P. K.
5
1996
Three point discretization of order four and six for \((du/dx)\) of the solution of nonlinear singular two point boundary value problem. Zbl 0984.65075
Mohanty, R. K.; Evans, D. J.; Dey, Shivani
5
2001
Fourth order nine point unequal mesh discretization for the solution of 2D nonlinear elliptic partial differential equations. Zbl 1157.65467
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi
5
2006
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133
Mohanty, R. K.; Dai, Weizhong; Han, Fei
5
2015
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. Zbl 1358.65059
Mohanty, R. K.; Kaur, Deepti
5
2017
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218
Mohanty, R. K.; Dai, Weizhong; Han, Fei
5
2015
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations. Zbl 1180.65137
Khattar, Dinesh; Singh, Swarn; Mohanty, R. K.
5
2009
A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations. Zbl 1122.65078
Mohanty, R. K.; Singh, Swarn
5
2007
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Zbl 1410.65321
Mohanty, R. K.; Singh, Suruchi; Singh, Swarn
5
2014
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Zbl 1244.65111
Jha, Navnit; Mohanty, R. K.
4
2011
Non-uniform mesh arithmetic average discretization for parabolic initial boundary value problems. Zbl 1087.65085
Mohanty, R. K.; Singh, Swarn
4
2005
A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. Zbl 1219.65072
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika
4
2011
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two-point boundary value problems. Zbl 1070.65064
Mohanty, R. K.; Evans, D. J.
4
2005
Fourth-order finite difference method for 2D parabolic partial differential equations with nonlinear first-derivative terms. Zbl 0748.65068
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
4
1992
The numerical solution of the two-dimensional unsteady Navier-Stokes equations using fourth-order difference method. Zbl 0744.76084
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
4
1991
A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach. Zbl 1195.65147
Mohanty, R. K.
4
2010
A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates. Zbl 1250.65105
Talwar, Jyoti; Mohanty, R. K.
4
2012
Single-cell fourth-order difference approximations for \(\frac{\partial u}{\partial x}\), \(\frac{\partial u}{\partial y}\), and \(\frac{\partial u}{\partial z}\) of the three-dimensional quasi-linear elliptic equation. Zbl 0958.65108
Mohanty, R. K.; Dey, Shivani
4
2000
Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Zbl 1458.65136
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad
4
2019
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations. Zbl 1308.65146
Mohanty, R. K.; Setia, Nikita
3
2012
A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations. Zbl 1422.65174
Mohanty, R. K.; Khurana, Gunjan
3
2017
Block iterative methods for one dimensional nonlinear biharmonic problems on a parallel computer. Zbl 0922.68004
Mohanty, R. K.; Evans, D. J.
3
1999
High accuracy difference formulae for a fourth order quasi-linear parabolic initial boundary value problem of first kind. Zbl 1026.65069
Mohanty, R. K.; Evans, D. J.; Kumar, Dinesh
3
2003
An accurate three spatial grid-point discretization of O(\(k^{2}+h^{4}\)) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind. Zbl 1026.65068
Mohanty, R. K.
3
2003
A new fourth-order compact off-step discretization for the system of 2D nonlinear elliptic partial differential equations. Zbl 1287.65098
Mohanty, R. K.; Setia, Nikita
3
2012
A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms. Zbl 0741.65080
Jain, M. K.; Jain, R. K.; Mohanty, R. K.
3
1991
A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations. Zbl 1167.65444
Mohanty, R. K.
3
2009
Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141
Mohanty, R. K.
3
2010
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates. Zbl 1063.65115
Mohanty, R. K.; Evans, D. J.
3
2004
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. Zbl 1197.65126
Mohanty, Ranjan Kumar
3
2010
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Zbl 1411.65114
Mohanty, R. K.; McKee, Sean; Kaur, Deepti
3
2017
High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto-Sivashinsky equation. Zbl 1417.65153
Mohanty, R. K.; Kaur, Deepti
3
2019
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. Zbl 1356.65217
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn
3
2016
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem. Zbl 1476.65136
Mohanty, R. K.; Ghosh, Bishnu Pada; McKee, Sean
1
2021
A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems. Zbl 1437.65080
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad; Khurana, Gunjan
3
2020
A new third order exponentially fitted discretization for the solution of non-linear two point boundary value problems on a graded mesh. Zbl 07331977
Mohanty, R. K.; Manchanda, Geetan; Khurana, Gunjan; Khan, Arshad
1
2020
Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Zbl 1458.65136
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad
4
2019
High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto-Sivashinsky equation. Zbl 1417.65153
Mohanty, R. K.; Kaur, Deepti
3
2019
Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations. Zbl 1419.65092
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad
2
2019
Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind. Zbl 1411.65111
Kaur, Deepti; Mohanty, R. K.
2
2019
A new fast algorithm based on half-step discretization for 3D quasilinear hyperbolic partial differential equations. Zbl 1404.65099
Mohanty, R. K.; Khurana, Gunjan
2
2019
Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions. Zbl 1480.65218
Mohanty, R. K.; Kaur, Deepti
1
2018
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. Zbl 1358.65059
Mohanty, R. K.; Kaur, Deepti
5
2017
A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations. Zbl 1422.65174
Mohanty, R. K.; Khurana, Gunjan
3
2017
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Zbl 1411.65114
Mohanty, R. K.; McKee, Sean; Kaur, Deepti
3
2017
A new fast numerical method based on off-step discretization for two-dimensional quasilinear hyperbolic partial differential equations. Zbl 1404.65098
Mohanty, R. K.; Khurana, Gunjan
2
2017
High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations. Zbl 1422.65175
Mohanty, R. K.; Sharma, Sachin
2
2017
A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh. Zbl 1371.65084
Mohanty, Ranjan Kumar; Kumar, Ravindra
1
2017
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. Zbl 1410.65320
Mohanty, R. K.; Kaur, Deepti
7
2016
A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations. Zbl 1419.35126
Mohanty, Ranjan Kumar; Kaur, Deepti
6
2016
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. Zbl 1356.65217
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn
3
2016
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179
Mohanty, R. K.; Dai, Weizhong; Liu, Don
6
2015
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Zbl 1410.65404
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn
5
2015
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133
Mohanty, R. K.; Dai, Weizhong; Han, Fei
5
2015
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218
Mohanty, R. K.; Dai, Weizhong; Han, Fei
5
2015
A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations. Zbl 1422.65173
Mohanty, Ranjan Kumar; Jha, Navnit; Kumar, Ravindra
2
2015
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. Zbl 1326.65089
Mohanty, R. K.; McKee, Sean
1
2015
Coupled reduced alternating group explicit algorithm for third order cubic spline method on a non-uniform mesh for nonlinear singular two point boundary value problems. Zbl 1314.34047
Talwar, Jyoti; Mohanty, R. K.
1
2015
A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers’ equation. Zbl 1363.76054
Mohanty, R. K.; Talwar, J.
1
2015
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Zbl 1334.65172
Mohanty, R. K.; Gopal, Venu
8
2014
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140
Mohanty, R. K.; Kumar, Ravindra
8
2014
A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates. Zbl 1311.65110
Gopal, Venu; Mohanty, R. K.; Saha, L. M.
5
2014
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Zbl 1410.65321
Mohanty, R. K.; Singh, Suruchi; Singh, Swarn
5
2014
Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application. Zbl 1291.65232
Jha, Navnit; Mohanty, R. K.
2
2014
High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems. Zbl 1349.65569
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika
13
2013
A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations. Zbl 1352.65254
Mohanty, R. K.; Gopal, Venu
10
2013
A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations. Zbl 1380.65327
Mohanty, Ranjan K.; Setia, Nikita
8
2013
A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations. Zbl 1426.65155
Mohanty, R. K.; Setia, Nikita
6
2013
A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations. Zbl 1380.65169
Mohanty, Ranjan K.; Gopal, Venu
6
2013
New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates. Zbl 1292.65090
Gopal, Venu; Mohanty, R. K.; Jha, Navnit
6
2013
A new high accuracy off-step discretisation for the solution of 2D nonlinear triharmonic equations. Zbl 1290.65099
Singh, Swarn; Singh, Suruchi; Mohanty, R. K.
2
2013
A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations. Zbl 1328.65180
Mohanty, R. K.; Jain, M. K.; Singh, Suruchi
1
2013
Geometric mesh three-point discretization for fourth-order nonlinear singular differential equations in polar system. Zbl 1292.65084
Jha, Navnit; Mohanty, R. K.; Chauhan, Vinod
1
2013
A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates. Zbl 1250.65105
Talwar, Jyoti; Mohanty, R. K.
4
2012
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations. Zbl 1308.65146
Mohanty, R. K.; Setia, Nikita
3
2012
A new fourth-order compact off-step discretization for the system of 2D nonlinear elliptic partial differential equations. Zbl 1287.65098
Mohanty, R. K.; Setia, Nikita
3
2012
A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems. Zbl 1292.65085
Mohanty, R. K.; Talwar, Jyoti
3
2012
High order variable mesh approximation for the solutions of 1D nonlinear hyperbolic equation. Zbl 1303.65069
Mohanty, R. K.; Singh, Suruchi
3
2012
Cubic spline method for 1D wave equation in polar coordinates. Zbl 1239.65056
Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay
2
2012
Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms. Zbl 1271.65114
Mohanty, Ranjan K.; Talwar, Jyoti
2
2012
Cubic spline iterative method for Poisson’s equation in cylindrical polar coordinates. Zbl 1234.35170
Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay
1
2012
A combined arithmetic average discretization and TAGE iterative method for nonlinear two point boundary value problems with a source function in integral form. Zbl 1256.65076
Mohanty, R. K.
1
2012
Correlation dimension and topological entropy in discrete maps. Zbl 1262.37011
Saha, L. M.; Prasad, Sadanand; Mohanty, R. K.
1
2012
Spline in compression methods for singularly perturbed 1D parabolic equations in singular coefficients. Zbl 1369.65019
Mohanty, Ranjan K.; Dahiya, Vijay; Khosla, Noopur
1
2012
A novel numerical method of \(\mathcal O(h^4)\) for three-dimensional non-linear triharmonic equations. Zbl 1388.65136
Mohanty, R. K.; Jain, M. K.; Mishra, B. N.
1
2012
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations. Zbl 1244.65127
Mohanty, R. K.; Gopal, Venu
17
2011
A new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic equations. Zbl 1242.35015
Mohanty, R. K.; Singh, Suruchi
5
2011
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Zbl 1244.65111
Jha, Navnit; Mohanty, R. K.
4
2011
A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. Zbl 1219.65072
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika
4
2011
A compact discretization of \(O(h^4)\) for two-dimensional nonlinear triharmonic equations. Zbl 1263.70030
Mohanty, R. K.; Jain, M. K.; Mishra, B. N.
2
2011
A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach. Zbl 1195.65147
Mohanty, R. K.
4
2010
Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141
Mohanty, R. K.
3
2010
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. Zbl 1197.65126
Mohanty, Ranjan Kumar
3
2010
Application of AGE method to high accuracy variable mesh arithmetic average type discretization for 1D non-linear parabolic initial boundary value problems. Zbl 1230.65096
Mohanty, R. K.
1
2010
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. Zbl 1181.65112
Mohanty, R. K.
68
2009
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Zbl 1172.65047
Mohanty, R. K.; Jain, M. K.
11
2009
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations. Zbl 1180.65137
Khattar, Dinesh; Singh, Swarn; Mohanty, R. K.
5
2009
A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations. Zbl 1167.65444
Mohanty, R. K.
3
2009
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form. Zbl 1178.65086
Mohanty, R. K.; Dhall, Deepika
3
2009
Alternating group explicit iterative method for nonlinear singular Fredholm integro-differential boundary value problems. Zbl 1172.65070
Jha, Navnit; Mohanty, R. K.; Mishra, Bimal Kumar
2
2009
A new high order two level implicit discretization for the solution of 3D nonlinear parabolic equations. Zbl 1242.65167
Mohanty, R. K.; Singh, Swarn
3
2008
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms. Zbl 1122.65381
Mohanty, R. K.
19
2007
An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105
Mohanty, R. K.
12
2007
An \(O(k^{2} + kh^{2} + h^{4})\) arithmetic average discretization for the solution of 1-D nonlinear parabolic equations. Zbl 1116.65105
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi
12
2007
A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations. Zbl 1122.65078
Mohanty, R. K.; Singh, Swarn
5
2007
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Zbl 1123.65109
Mohanty, R. K.
2
2007
A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103
Mohanty, R. K.; Singh, Swarn
28
2006
A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives. Zbl 1088.65071
Mohanty, R. K.; Arora, Urvashi
22
2006
A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\). Zbl 1104.65315
Mohanty, R. K.
17
2006
A new highly accurate discretization for three-dimensional singularly perturbed nonlinear elliptic partial differential equations. Zbl 1108.65105
Mohanty, R. K.; Singh, Swarn
11
2006
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems. Zbl 1088.65072
Mohanty, R. K.; Khosla, Noopur
10
2006
A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089
Arora, Urvashi; Karaa, Samir; Mohanty, R. K.
6
2006
A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization. Zbl 1102.65083
Mohanty, R. K.; Arora, Urvashi
5
2006
Fourth order nine point unequal mesh discretization for the solution of 2D nonlinear elliptic partial differential equations. Zbl 1157.65467
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi
5
2006
A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems. Zbl 1116.65092
Mohanty, R. K.; Evans, D. J.; Jha, Navnit
3
2006
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. Zbl 1070.65076
Mohanty, R. K.
33
2005
A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity. Zbl 1071.65113
Mohanty, R. K.
25
2005
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Zbl 1082.65550
Mohanty, R. K.; Jha, Navnit
20
2005
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems. Zbl 1065.65097
Mohanty, R. K.; Evans, D. J.; Arora, Urvashi
15
2005
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Zbl 1063.65084
Mohanty, R. K.
15
2005
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. Zbl 1117.65349
Mohanty, R. K.; Khosla, N.
12
2005
An \(O(h_k^3)\) non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. Zbl 1075.65102
Mohanty, R. K.; Evans, D. J.; Khosla, Noopur
8
2005
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. Zbl 1064.65064
Evans, D. J.; Mohanty, R. K.
5
2005
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an \(O(k^2+h^4)\) difference method. Zbl 1064.65097
Mohanty, R. K.; Evans, D. J.
5
2005
Non-uniform mesh arithmetic average discretization for parabolic initial boundary value problems. Zbl 1087.65085
Mohanty, R. K.; Singh, Swarn
4
2005
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two-point boundary value problems. Zbl 1070.65064
Mohanty, R. K.; Evans, D. J.
4
2005
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Zbl 1046.65076
Mohanty, R. K.
56
2004
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1077.65093
Mohanty, R. K.
24
2004
An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Zbl 1060.65080
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit
23
2004
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems. Zbl 1058.65077
Mohanty, R. K.; Jha, Navnit; Evans, D. J.
15
2004
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates. Zbl 1063.65115
Mohanty, R. K.; Evans, D. J.
3
2004
A fourth order accurate cubic spline alternating group explicit method for non-linear singular two point boundary value problems. Zbl 1020.65039
Mohanty, R. K.; Evans, D. J.
13
2003
TAGE method for nonlinear singular two point boundary value problem using a fourth order difference scheme. Zbl 1047.65057
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit
6
2003
...and 43 more Documents
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Cited by 479 Authors

124 Mohanty, Ranjan Kumar
16 Jha, Navnit
16 Rashidinia, Jalil
15 Dehghan Takht Fooladi, Mehdi
13 Singh, Swarn
12 Evans, David John
9 Bhuruth, Muddun
8 Kaur, Deepti
8 Talwar, Jyoti
7 Arora, Urvashi
7 Dai, Weizhong
7 Ghasemi, Mohamad
7 Gopal, Venu
7 Lin, Ji
7 Setia, Nikita
6 Khurana, Gunjan
6 Mittal, Ramesh Chand
6 Singh, Suruchi
5 Ashyralyev, Allaberen
5 Aziz, Imran
5 Cui, Minggen
5 Ge, Yongbin
5 Jiwari, Ram
5 Koksal, Mehmet Emir
5 Liu, Li-Bin
5 Manchanda, Geetan
5 Reutskiy, Sergiy Yu
4 Deng, Dingwen
4 Ding, Hengfei
4 George, Kochurani
4 Gopaul, Ashvin
4 Karaa, Samir
4 Kumar, Neelesh
4 Liu, Huanwen
4 Mohebbi, Akbar
4 Shivanian, Elyas
4 Siraj-ul-Islam
4 Sun, Zhizhong
4 Zhang, Chengjian
4 Zhang, Yuxin
3 Akgül, Ali
3 Ali, Norhashidah Hj. Mohd.
3 Bieniasz, Lesław K.
3 Dey, Shivani
3 Dhall, Deepika
3 Geng, Fazhan
3 Jalilian, Reza
3 Kiliçman, Adem
3 Kumar, Dinesh Kant
3 Kumar, Ravindra
3 Lakestani, Mehrdad
3 Lu, Jun
3 Luo, Zhendong
3 McKee, Sean
3 Mohammadi, Reza
3 Molavi-Arabshahi, Seyedeh Mahboubeh
3 Pandit, Sapna
3 Sharma, Sachin S.
3 Wang, Xiaofeng
3 Wang, Yulan
3 Zhang, Yuhui
2 Agarwal, Ravi P.
2 Aghamohamadi, Masomeh
2 Alavi, Javad
2 Allouche, Hassane
2 Aminikhah, Hossein
2 Arora, Rajni
2 Bhatia, Rachna
2 Chauhan, Vinod Kumar
2 Dahiya, Sumita
2 Dahiya, Vijay
2 Dang Quang A
2 Fazal-i-Haq
2 Feng, Xinlong
2 Ghesmati, Arezou
2 Ghosh, Bishnu Pada
2 Han, Fei
2 He, Dongdong
2 Heydari, Mohammad Hossien
2 Hooshmandasl, Mohammad Reza
2 Inc, Mustafa
2 Jokar, Mahmood
2 Jun, Younbae
2 Kadri, Tlili
2 Kew, Lee Ming
2 Khaliq, Abdul Q. M.
2 Khan, Imran A.
2 Khosla, Noopur
2 Kumar Mishra, Hradyesh
2 Kumar Pandey, Pramod
2 Kumar, Manoj
2 Kumar, Rajive
2 Li, Hong
2 Liao, HongLin
2 Liew, Kim Meow
2 Lin, Ping
2 Liu, Chein-Shan
2 Liu, Yang
2 Ma, Tingfu
2 Momoniat, Ebrahim
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Cited in 99 Serials

81 Applied Mathematics and Computation
50 International Journal of Computer Mathematics
21 Numerical Methods for Partial Differential Equations
19 Journal of Computational and Applied Mathematics
18 Computers & Mathematics with Applications
16 Advances in Difference Equations
12 Engineering Analysis with Boundary Elements
11 Applied Mathematical Modelling
10 Differential Equations and Dynamical Systems
9 Numerical Algorithms
8 Applied Numerical Mathematics
8 Computational and Applied Mathematics
6 Computer Physics Communications
5 Journal of Difference Equations and Applications
5 Abstract and Applied Analysis
5 International Journal of Computational Methods
4 Journal of Computational Physics
4 Applied Mathematics Letters
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Mathematical Problems in Engineering
4 Discrete Dynamics in Nature and Society
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Mathematical Sciences
4 International Journal of Applied and Computational Mathematics
3 Mathematical and Computer Modelling
3 Computational Mathematics and Modeling
3 Journal of the Egyptian Mathematical Society
3 Boundary Value Problems
3 International Journal for Computational Methods in Engineering Science and Mechanics
3 Advances in Numerical Analysis
3 Computational Methods for Differential Equations
2 Mathematics and Computers in Simulation
2 Acta Applicandae Mathematicae
2 Journal of the Nigerian Mathematical Society
2 Journal of Scientific Computing
2 Journal of Inequalities and Applications
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Networks and Spatial Economics
2 Advances in Mathematical Physics
2 International Journal of Differential Equations
2 Afrika Matematika
2 S\(\vec{\text{e}}\)MA Journal
2 ISRN Computational Mathematics
2 East Asian Journal on Applied Mathematics
2 Electronic Research Archive
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Computing
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Kybernetika
1 Mathematische Zeitschrift
1 Meccanica
1 RAIRO. Analyse Numérique
1 SIAM Journal on Numerical Analysis
1 Computer Aided Geometric Design
1 International Journal of Parallel Programming
1 Journal of Global Optimization
1 Journal of Partial Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Advances in Engineering Software
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 Advances in Computational Mathematics
1 Complexity
1 The Journal of Fourier Analysis and Applications
1 Parallel Algorithms and Applications
1 Communications of the Korean Mathematical Society
1 Communications in Nonlinear Science and Numerical Simulation
1 Applied Sciences
1 Computational Methods in Applied Mathematics
1 Journal of Dynamical Systems and Geometric Theories
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Journal of Function Spaces and Applications
1 Mediterranean Journal of Mathematics
1 Mathematics in Computer Science
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Proceedings of the Estonian Academy of Sciences
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 Azerbaijan Journal of Mathematics
1 Numerical Algebra, Control and Optimization
1 ISRN Mathematical Physics
1 Journal of Applied Analysis and Computation
1 Communications in Mathematics and Statistics
1 Journal of Mathematics
1 International Journal of Engineering Mathematics
1 Journal of Linear and Topological Algebra
1 Journal of Mathematical Modeling
1 Journal of Computational Methods in Physics
1 Cogent Mathematics
1 Advances in Operator Theory
1 Results in Applied Mathematics

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