Edit Profile (opens in new tab) Mohanty, Ranjan Kumar Co-Author Distance Author ID: mohanty.ranjan-kumar Published as: Mohanty, R. K.; Mohanty, Ranjan Kumar; Mohanty, Ranjan K. more...less Homepage: http://www.sau.int/faculty/faculty-profile.html?staff_id=41 External Links: MGP · ORCID · Google Scholar · ResearchGate Documents Indexed: 187 Publications since 1989 1 Contribution as Editor Co-Authors: 47 Co-Authors with 157 Joint Publications 1,130 Co-Co-Authors all top 5 Co-Authors 27 single-authored 31 Jain, Mahinder Kumar 17 Evans, David John 13 Jha, Navnit 13 Kaur, Deepti 13 Singh, Swarn 12 Talwar, Jyoti 10 Arora, Urvashi 9 Jain, Rakesh Kumar 9 Setia, Nikita 7 Khan, Arshad 7 Khurana, Gunjan 6 Gopal, Venu 6 Manchanda, Geetan 5 Sharma, Sachin S. 5 Singh, Suruchi 4 Dahiya, Vijay 4 George, Kochurani 4 Ghosh, Bishnu Pada 4 Khosla, Noopur 4 Kumar, Dinesh Kant 3 Dai, Weizhong 3 Dey, Shivani 3 Dhall, Deepika 3 Karaa, Samir 3 Khattar, Dinesh 3 Kumar, Rajive 3 Kumar, Ravindra 3 McKee, Sean 3 Sharma, Divya 2 Bansal, Seema 2 Chauhan, Vinod Kumar 2 Han, Fei 2 Mishra, B. N. 2 Nayak, Sucheta 2 Sachdev, P. L. 2 Saha, L. M. 1 Grossmann, Christian 1 Kumar Mishra, Bimal 1 Kumar, Neelesh 1 Li, Yuan 1 Liu, Don 1 Prasad, Sadanand 1 Priyadarshini, Ishaani 1 Roos, Hans-Görg 1 Sarwer, Md Hasan 1 Sharma, Kapil Kumar 1 Yuan, Li all top 5 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 Numerical Algorithms 4 Journal of Difference Equations and Applications 4 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 3 Computers & Mathematics with Applications 3 Computational and Applied Mathematics 3 Journal of Mathematical Chemistry 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 Journal of the Egyptian Mathematical Society 2 Soft Computing 2 Journal of Computational Methods in Sciences and Engineering 2 International Journal of Computational Methods 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 all top 5 Fields 183 Numerical analysis (65-XX) 112 Partial differential equations (35-XX) 36 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 158 Publications have been cited 1,486 times in 493 Documents Cited by ▼ Year ▼ New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. Zbl 1181.65112 Mohanty, R. K. 80 2009 An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101 Mohanty, R. K.; Jain, M. K. 64 2001 An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Zbl 1046.65076 Mohanty, R. K. 64 2004 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 63 2002 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 46 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. 39 2005 A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103 Mohanty, R. K.; Singh, Swarn 33 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. 29 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. 28 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. 26 1990 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 23 2006 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 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. 23 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. 21 2007 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 21 2005 Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems. Zbl 0885.65110 Mohanty, R. K. 21 1997 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. 20 2006 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 20 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 19 1996 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. 18 1989 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. 18 1995 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. 18 2005 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. 17 1990 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. 16 2002 An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105 Mohanty, R. K. 15 2007 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 15 2000 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 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. 15 1992 A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind. Zbl 0963.65083 Mohanty, R. K. 14 2000 High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Zbl 1172.65047 Mohanty, R. K.; Jain, M. K. 14 2009 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 14 2013 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 13 2007 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. 13 2005 Fourth order finite difference methods for the system of 2-D nonlinear elliptic equations with variable coefficients. Zbl 0816.76060 Mohanty, R. K. 13 1992 An \(O(k^ 2+ h^ 4)\) finite difference method for one-space Burgers equation in polar coordinates. Zbl 0861.65074 Mohanty, R. K. 13 1996 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 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 Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. Zbl 0933.65124 Evans, D. J.; Mohanty, R. K. 12 1998 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. 12 2001 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 12 2006 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 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 11 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 10 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 10 2001 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 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. 10 1996 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 10 2015 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 9 2015 A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140 Mohanty, R. K.; Kumar, Ravindra 9 2014 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 9 2016 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 high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach. Zbl 1195.65147 Mohanty, R. K. 8 2010 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 8 2013 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 8 2016 A new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic equations. Zbl 1242.35015 Mohanty, R. K.; Singh, Suruchi 7 2011 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 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 A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089 Arora, Urvashi; Karaa, Samir; Mohanty, R. K. 7 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. 7 2005 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 7 2013 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 7 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 7 2015 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 7 2019 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 7 2015 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 6 2007 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 6 2011 Fourth order operator splitting method for the three space parabolic equation with variable coefficients. Zbl 0824.65090 Mohanty, R. K.; Jain, M. K. 6 1994 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. 6 2009 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 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 6 2006 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 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 6 2020 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 6 2014 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. 5 2012 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 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 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. 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 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. 5 2011 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 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 5 2016 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 5 2003 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 5 2019 Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141 Mohanty, R. K. 5 2010 Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation. Zbl 1474.65279 Kaur, Deepti; Mohanty, R. K. 5 2020 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 5 2021 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 5 2019 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 High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients. Zbl 0904.65085 Mohanty, R. K. 4 1998 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. 4 2009 Non-uniform mesh arithmetic average discretization for parabolic initial boundary value problems. Zbl 1087.65085 Mohanty, R. K.; Singh, Swarn 4 2005 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. 4 2004 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 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 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 4 2012 High order variable mesh approximation for the solutions of 1D nonlinear hyperbolic equation. Zbl 1303.65069 Mohanty, R. K.; Singh, Suruchi 4 2012 High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain. Zbl 1484.65185 Mohanty, R. K.; Ghosh, Bishnu Pada 1 2022 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 5 2021 High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. Zbl 1498.65188 Priyadarshini, Ishaani; Mohanty, R. K. 3 2021 A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions. Zbl 1498.65128 Setia, Nikita; Mohanty, R. K. 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 6 2020 Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation. Zbl 1474.65279 Kaur, Deepti; Mohanty, R. K. 5 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 3 2020 A new compact scheme in exponential form for two-dimensional time-dependent Burgers’ and Navier-Stokes equations. Zbl 1468.65103 Mohanty, Ranjan Kumar; Yuan, Li; Sharma, Divya 2 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 7 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 5 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 5 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 3 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 class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. Zbl 1429.65193 Mohanty, R. K.; Kaur, Deepti; Singh, Swarn 1 2019 A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations. Zbl 1420.65088 Mohanty, R. K.; Sharma, Sachin; Singh, Swarn 1 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 3 2018 Compact difference scheme with high accuracy for one-dimensional unsteady quasi-linear biharmonic problem of second kind: application to physical problems. Zbl 1399.65163 Mohanty, R. K.; Kaur, D. 2 2018 A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations. Zbl 1448.65115 Mohanty, R. K.; Sharma, Sachin; Singh, Swarn 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 7 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 4 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 4 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 4 2017 High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations. Zbl 1434.65127 Mohanty, Ranjan Kumar; 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 3 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 9 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 8 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 5 2016 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 10 2015 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 9 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 7 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 7 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 3 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 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 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 high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations. Zbl 1443.65218 Mohanty, R. K.; Setia, Nikita 1 2015 A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140 Mohanty, R. K.; Kumar, Ravindra 9 2014 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 high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Zbl 1410.65321 Mohanty, R. K.; Singh, Suruchi; Singh, Swarn 6 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 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 A new compact off-step discretization for the system of 2D quasi-linear elliptic equations on unequal mesh. Zbl 1294.35028 Mohanty, R. K.; Setia, N. 1 2014 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 14 2013 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 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 11 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 8 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 7 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. 3 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 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 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. 5 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 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 4 2012 High order variable mesh approximation for the solutions of 1D nonlinear hyperbolic equation. Zbl 1303.65069 Mohanty, R. K.; Singh, Suruchi 4 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 4 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 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. 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 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 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 new high accuracy variable mesh discretization for the solution of the system of 2D non-linear elliptic boundary value problems. Zbl 1278.76079 Setia, Nikita; Mohanty, R. K. 1 2012 Spline in tension methods for singularly perturbed one space dimensional parabolic equations with singular coefficients. Zbl 1261.65089 Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay 1 2012 Correlation dimension and topological entropy in discrete maps. Zbl 1262.37011 Saha, L. M.; Prasad, Sadanand; Mohanty, R. K. 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 20 2011 A new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic equations. Zbl 1242.35015 Mohanty, R. K.; Singh, Suruchi 7 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 6 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. 5 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. 4 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. 8 2010 Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141 Mohanty, R. K. 5 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. 80 2009 High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Zbl 1172.65047 Mohanty, R. K.; Jain, M. K. 14 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. 6 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. 4 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 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 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. 21 2007 An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105 Mohanty, R. K. 15 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 13 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 6 2007 The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Zbl 1123.65109 Mohanty, R. K. 3 2007 Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity. Zbl 1127.65081 Mohanty, R. K. 1 2007 A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103 Mohanty, R. K.; Singh, Swarn 33 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 23 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. 20 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 12 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 A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089 Arora, Urvashi; Karaa, Samir; Mohanty, R. K. 7 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 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 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. 39 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. 29 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 21 2005 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 600 Authors 137 Mohanty, Ranjan Kumar 20 Jain, Mahinder Kumar 20 Jha, Navnit 17 Rashidinia, Jalil 15 Dehghan Takht Fooladi, Mehdi 15 Singh, Swarn 12 Evans, David John 11 Kaur, Deepti 9 Bhuruth, Muddun 8 Arora, Urvashi 8 Ge, Yongbin 8 Khan, Arshad 8 Kumar, Manoj 8 Mittal, Ramesh Chand 8 Setia, Nikita 8 Singh, Suruchi 8 Talwar, Jyoti 7 Dai, Weizhong 7 Ghasemi, Mohamad 7 Gopal, Venu 7 Jiwari, Ram 7 Khurana, Gunjan 7 Lin, Ji 7 Sun, Zhizhong 6 Ashyralyev, Allaberen 6 Aziz, Imran 6 Manchanda, Geetan 5 Cui, Minggen 5 Koksal, Mehmet Emir 5 Liu, Li-Bin 5 Reutskiy, Sergiy Yu 5 Sharma, Sachin S. 5 Siraj-ul-Islam 4 Deng, Dingwen 4 Ding, Hengfei 4 George, Kochurani 4 Ghosh, Bishnu Pada 4 Gopaul, Ashvin 4 Karaa, Samir 4 Kumar, Neelesh 4 Liu, Huanwen 4 Luo, Zhendong 4 Mohebbi, Akbar 4 Shivanian, Elyas 4 Zhang, Chengjian 4 Zhang, Yuxin 3 Akgül, Ali 3 Ali, Norhashidah Hj. Mohd. 3 Asif, Muhammad 3 Bieniasz, Lesław K. 3 Dang Quang A 3 Dey, Shivani 3 Dhall, Deepika 3 Geng, Fazhan 3 Jalilian, Reza 3 Jiang, Yunzhi 3 Jun, Younbae 3 Kiliçman, Adem 3 Kumar Pandey, Pramod 3 Kumar, Dinesh Kant 3 Kumar, Ravindra 3 Lakestani, Mehrdad 3 Lu, Jun 3 McKee, Sean 3 Mohammadi, Reza 3 Molavi-Arabshahi, Seyedeh Mahboubeh 3 Pandit, Sapna 3 Singh, Bhagat 3 Wang, Xiaofeng 3 Wu, Mengling 3 Zhang, Yuhui 2 Agarwal, Ravi P. 2 Aghamohamadi, Masomeh 2 Al-Mdallal, Qasem M. 2 Alavi, Javad 2 Allouche, Hassane 2 Amin, Rohul 2 Aminikhah, Hossein 2 Arora, Rajni 2 Avazzadeh, Zakieh 2 Bhatia, Rachna 2 Chaolu, Temuer 2 Chaudhary, Sudhakar 2 Chauhan, Vinod Kumar 2 Dahiya, Sumita 2 Dahiya, Vijay 2 Dung, Tran Trinh Manh 2 Fazal-i-Haq 2 Feng, Xinlong 2 Gao, Guanghua 2 Ghesmati, Arezou 2 Haider, Nadeem 2 Han, Fei 2 He, Dongdong 2 Heydari, Mohammad Hossein 2 Hooshmandasl, Mohammad Reza 2 Inc, Mustafa 2 Jokar, Mahmood 2 Kadri, Tlili 2 Kew, Lee Ming ...and 500 more Authors all top 5 Cited in 114 Serials 85 Applied Mathematics and Computation 52 International Journal of Computer Mathematics 30 Numerical Methods for Partial Differential Equations 21 Computers & Mathematics with Applications 21 Journal of Computational and Applied Mathematics 17 Advances in Difference Equations 15 Computational and Applied Mathematics 14 Engineering Analysis with Boundary Elements 11 Applied Mathematical Modelling 11 Differential Equations and Dynamical Systems 10 Numerical Algorithms 9 Applied Numerical Mathematics 7 International Journal of Nonlinear Sciences and Numerical Simulation 6 Computer Physics Communications 6 Mathematical Sciences 5 Applied Mathematics Letters 5 Journal of Difference Equations and Applications 5 Journal of Mathematical Chemistry 5 Mathematical Problems in Engineering 5 Abstract and Applied Analysis 5 International Journal of Computational Methods 5 Computational Methods for Differential Equations 4 Journal of Computational Physics 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Discrete Dynamics in Nature and Society 4 Proceedings of the National Academy of Sciences, India. 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Third Series 1 The Journal of Fourier Analysis and Applications 1 Parallel Algorithms and Applications 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Communications of the Korean Mathematical Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Applied Sciences 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 Applications and Applied Mathematics 1 Mathematics in Computer Science 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. 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