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Numerical Methods for Partial Differential Equations

An International Journal

Short Title: Numer. Methods Partial Differ. Equations
Publisher: Wiley, Hoboken, NJ
ISSN: 0749-159X; 1098-2426/e
Online: https://onlinelibrary.wiley.com/loi/10982426
Comments: Journal
Documents Indexed: 2,612 Publications (since 1985)
References Indexed: 2,359 Publications with 64,033 References.
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40, No. 1 (2024)
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...and 112 more Volumes
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Authors

51 Dehghan Takht Fooladi, Mehdi
31 Sun, Zhizhong
29 Wang, Hong
25 He, Yinnian
20 Herrera, Ismael
19 Mohanty, Ranjan Kumar
17 Chen, Zhangxin
17 Dai, Weizhong
17 Mickens, Ronald Elbert
16 Hayat, Tasawar
16 Rui, Hongxing
15 Ewing, Richard Edward
14 Khaliq, Abdul Q. M.
14 Layton, William J.
13 Ganji, Davood Domiri
13 Li, Jian
13 Whiteman, John Robert
13 Ye, Xiu
12 Jain, Mahinder Kumar
12 Ma, Yichen
12 Shi, Dongyang
12 Zhang, Zhimin
11 Allen, Myron Bartlett III
11 Gatica, Gabriel N.
11 Hou, Yanren
11 Lin, Yanping
11 Omrani, Khaled
11 Stephan, Ernst Peter
10 Akgül, Ali
10 Hromadka, Theodore V. II
10 Pani, Amiya Kumar
10 Pinder, George Francis
10 Sezer, Mehmet
10 Sooppy Nisar, Kottakkaran
10 Wang, Kaixin
10 Xu, Da
10 Yuan, Yirang
9 Al-Lawatia, Mohamed
9 Babuška, Ivo
9 Cooke, Charlie H.
9 Feng, Xinlong
9 Heuer, Norbert
9 Li, Jichun
9 Rebholz, Leo G.
9 Sheen, Dongwoo
8 Bürger, Raimund
8 Carey, Graham Francis
8 Celia, Michael A.
8 Ervin, Vincent J.
8 Huang, Yunqing
8 Kumar, Sunil
8 Li, Xiaoli
8 Lin, Tao
8 Power, Henry
8 Udhayakumar, Ramalingam
8 Vijayakumar, Velusamy
8 Vong, Seakweng
8 Zhang, Jun
8 Zhang, Shangyou
8 Zhu, Qiding
7 Atangana, Abdon
7 Bochev, Pavel B.
7 Chen, Yanping
7 Cheng, Aijie
7 Chou, So-Hsiang
7 Gómez-Aguilar, José Francisco
7 He, Wenming
7 Lazarov, Raytcho D.
7 Li, Hong
7 Li, Kaitai
7 Ma, Heping
7 Mattheij, Robert M. M.
7 Oden, John Tinsley
7 Park, Eun-Jae
7 Rivière, Beatrice M.
7 Sheng, Qin
7 Whitley, Robert J.
7 Yang, Danping
6 Biazar, Jafar
6 Bruch, John C. jun.
6 Cai, Zhiqiang
6 Chen-Charpentier, Benito Miguel
6 Chen, Wen
6 Chu, Yuming
6 Dağ, İdris
6 Eymard, Robert
6 Farhloul, Mohamed
6 Gao, Zhiming
6 Gülsu, Mustafa
6 Jafari, Hossein
6 Karageorghis, Andreas
6 Kwak, Do Young
6 Mai-Duy, Nam
6 Mei, Liquan
6 Mu, Lin
6 Nassar, Raja F.
6 Nicaise, Serge
6 Pao, Chia-Ven
6 Shang, Yueqiang
6 Skiba, Yuri N.
...and 3,382 more Authors
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Fields

2,323 Numerical analysis (65-XX)
1,790 Partial differential equations (35-XX)
575 Fluid mechanics (76-XX)
155 Mechanics of deformable solids (74-XX)
70 Ordinary differential equations (34-XX)
70 Biology and other natural sciences (92-XX)
64 Classical thermodynamics, heat transfer (80-XX)
58 Integral equations (45-XX)
58 Optics, electromagnetic theory (78-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
42 Real functions (26-XX)
40 Geophysics (86-XX)
33 Probability theory and stochastic processes (60-XX)
30 Statistical mechanics, structure of matter (82-XX)
20 Approximations and expansions (41-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Potential theory (31-XX)
13 Operator theory (47-XX)
12 Computer science (68-XX)
10 Integral transforms, operational calculus (44-XX)
10 Functional analysis (46-XX)
10 Systems theory; control (93-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Special functions (33-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Combinatorics (05-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Astronomy and astrophysics (85-XX)
4 Operations research, mathematical programming (90-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Difference and functional equations (39-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

2,034 Publications have been cited 22,438 times in 15,025 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
433
2006
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
299
1992
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
285
2010
\(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069
Duarte, C. Armando; Oden, J. Tinsley
217
1996
Exponential convergence and \(h\)-\(c\) multiquadric collocation method for partial differential equations. Zbl 1031.65121
Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G.
195
2003
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
170
2000
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
168
2002
Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
159
2007
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
151
2011
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
137
2014
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072
Dehghan, Mehdi
125
2005
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
124
2004
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
123
2010
Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055
Anguelov, Roumen; Lubuma, Jean M.-S.
119
2001
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
106
2015
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
98
2008
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
96
2006
A decoupling method with different subdomain time steps for the nonstationary Stokes-Darcy model. Zbl 1364.76096
Shan, Li; Zheng, Haibiao; Layton, William J.
93
2013
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
90
2018
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
87
2012
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
87
2008
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
Saadatmandi, Abbas; Dehghan, Mehdi
84
2010
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094
Mickens, Ronald E.
82
2007
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
77
2007
A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066
Spotz, W. F.; Carey, G. F.
76
1996
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
76
2004
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
73
2000
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
70
2008
An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091
Minjeaud, Sebastian
68
2013
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
67
2013
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
65
2001
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
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
64
2009
Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048
Iliescu, Traian; Wang, Zhu
64
2014
Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516
Ikonen, Samuli; Toivanen, Jari
62
2008
ODE solvers and the method of lines. Zbl 0826.65082
Shampine, L. F.
61
1994
Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294
Mascotto, Lorenzo
61
2018
Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
60
2008
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
60
2009
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
60
2005
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
60
2013
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
59
2005
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067
Omrani, Khaled; Ayadi, Mekki
58
2008
Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101
Spotz, W. F.; Carey, G. F.
57
2001
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
57
2005
Finite volume methods on Voronoi meshes. Zbl 0903.65083
Mishev, Ilya D.
57
1998
Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024
Yi, Son-Young
57
2014
A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. Zbl 1407.76095
Feng, Wenqiang; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
57
2018
An analysis of the finite element method for natural convection problems. Zbl 0703.76071
Boland, J.; Layton, W.
56
1990
Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions. Zbl 1407.65239
Arqub, Omar Abu; Al-Smadi, Mohammed
56
2018
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
55
2007
Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059
Mickens, Ronald E.
55
1989
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380
Dehghan, M.; Shokri, Ali
54
2008
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
54
2009
A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1159.65084
Dehghan, Mehdi; Shokri, Ali
54
2009
Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069
Rodríguez, Rodolfo
54
1994
A Fourier pseudospectral method for the “good” Boussinesq equation with second-order temporal accuracy. Zbl 1327.65195
Cheng, Kelong; Feng, Wenqiang; Gottlieb, Sigal; Wang, Cheng
54
2015
Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093
Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D.
52
2007
Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153
Arqub, Omar Abu
52
2018
Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace’s, Poisson’s, and the elasticity equations. Zbl 0854.65089
Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.
51
1996
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
51
2004
Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425
Park, Eun-Jae
51
2005
Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091
Wu, Haijun; Li, Ronghua
50
2003
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
Dehghan, Mehdi; Lakestani, Mehrdad
50
2009
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
49
2003
High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers. Zbl 1073.65079
Clavero, C.; Gracia, J. L.; Jorge, J. C.
49
2005
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
49
2008
A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044
Yang, Danping
48
2001
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
48
2016
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217
Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M.
47
2011
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
47
2012
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
47
2006
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
46
2012
\(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
46
2003
A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455
Yi, Son-Young
46
2013
Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016
de Roos, A. M.
45
1988
A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086
Mickens, Ronald E.; Jordan, P. M.
45
2004
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
45
2005
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
45
1990
Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152
Liu, Nanshan; Lin, En-Bing
44
2010
A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079
Wu, Li; Allen, Myron B. III
44
1999
A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142
Shokri, Ali; Dehghan, Mehdi
44
2010
High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078
Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W.
43
1985
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
43
1995
A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111
Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K.
43
1998
Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102
Buckmire, Ron
43
2004
On the convergence of the multi-point flux approximation O-method: numerical experiments for discontinuous permeability. Zbl 1089.76037
Eigestad, G. T.; Klausen, R. A.
43
2005
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
43
2010
Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137
Dehghan, Mehdi; Taleei, Ameneh
43
2010
Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. Zbl 1233.65062
Wang, Tingchun; Guo, Boling
42
2011
Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043
Klausen, Runhild A.; Winther, Ragnar
42
2006
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
42
2016
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
Saadatmandi, Abbas; Dehghan, Mehdi
41
2007
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M.
41
2002
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099
Dehghan, Mehdi; Mirzaei, Davoud
41
2008
Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085
Mickens, Ronald E.
40
1999
Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows. Zbl 1364.76088
Layton, W.; Tran, H.; Trenchea, C.
40
2014
Trefftz method: A general theory. Zbl 0978.65114
Herrera, Ismael
39
2000
A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations. Zbl 1274.65252
Chen, Chuanjun; Liu, Wei; Bi, Chunjia
39
2013
The numerical solution of the second Painlevé equation. Zbl 1172.65037
Dehghan, Mehdi; Shakeri, Fatemeh
38
2009
Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). Zbl 07798400
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy
11
2024
Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward-downward moving rotating disk. Zbl 07798391
Jayadevamurthy, Punith Gowda Ramanahalli; Rangaswamy, Naveen Kumar; Prasannakumara, Ballajja Chandrappa; Nisar, Kottakkaran Sooppy
5
2024
Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. Zbl 07798396
Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
3
2024
Numerical investigations on COVID-19 model through singular and non-singular fractional operators. Zbl 07798404
Kumar, Sunil; Chauhan, R. P.; Momani, Shaher; Hadid, Samir
3
2024
Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel. Zbl 07798387
Logeswari, Kumararaju; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy
2
2024
A study on fractional predator-prey-pathogen model with Mittag-Leffler kernel-based operators. Zbl 07798394
Ghanbari, Behzad; Kumar, Sunil
2
2024
Integrated neuro-evolution heuristic with sequential quadratic programming for second-order prediction differential models. Zbl 07798397
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Shoaib, Muhammad; Aguilar, J. F. Gómez
2
2024
A numerical study on fractional differential equation with population growth model. Zbl 07798392
Kumar, Sunil; Shaw, Pawan Kumar; Abdel-Aty, Abdel-Haleem; Mahmoud, Emad E.
1
2024
Analytical and numerical techniques for initial-boundary value problems of Kolmogorov-Petrovsky-Piskunov equation. Zbl 07798398
Wongsaijai, Ben; Aydemir, Tuğba; Ak, Turgut; Dhawan, Sharanjeet
1
2024
Heat transfer analysis on MHD flow over a stretchable Riga wall considering entropy generation rate: a numerical study. Zbl 07798399
Shah, Faisal; Khan, Muhammad Ijaz; Chu, Yu-Ming; Kadry, Seifedine
1
2024
Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. Zbl 07798401
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
1
2024
Decatic B-spline collocation scheme for approximate solution of Burgers’ equation. Zbl 07776988
Jena, Saumya R.; Gebremedhin, Guesh S.
4
2023
Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. Zbl 07777364
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N.
4
2023
A new \(\phi \)-FEM approach for problems with natural boundary conditions. Zbl 07779711
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei
4
2023
Thermal instability of magnetohydrodynamic couple stress nanofluid in rotating porous medium. Zbl 07769125
Singh, Bhupander; Nisar, Kottakkaran Sooppy
3
2023
Exact solutions of convective-diffusive Cahn-Hilliard equation using extended direct algebraic method. Zbl 07769128
Rehman, Hamood Ur; Ullah, Naeem; Asjad, Muhammad Imran; Akgül, Ali
2
2023
An inverse problem of identifying the time-dependent potential in a fourth-order pseudo-parabolic equation from additional condition. Zbl 07776941
Huntul, Mousa J.; Tamsir, Mohammad; Dhiman, Neeraj
2
2023
On the SAV-DG method for a class of fourth order gradient flows. Zbl 07776958
Liu, Hailiang; Yin, Peimeng
2
2023
Learning parameters of a system of variable order fractional differential equations. Zbl 07776993
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth
2
2023
The divergence-free nonconforming virtual element method for the Navier-Stokes problem. Zbl 07776994
Zhang, Bei; Zhao, Jikun; Li, Meng
2
2023
Approximation of functions by a new type of Gamma operators. Zbl 07777366
Betus, Ömür; Usta, Fuat
2
2023
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 07779730
Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan
2
2023
Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. Zbl 07769119
Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V.
1
2023
Dynamics of Arrhenius activation energy in flow of Carreau fluid subject to Brownian motion diffusion. Zbl 07769126
Khan, Muhammad Ijaz; Qayyum, Sumaira; Nigar, Mehr; Chu, Yu-Ming; Kadry, Seifedine
1
2023
High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E.
1
2023
Exact solutions of \((2+1)\)-dimensional Schrödinger’s hyperbolic equation using different techniques. Zbl 07769131
Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgül, Ali
1
2023
Simulation of the interaction of light with 3-D metallic nanostructures using a proper orthogonal decomposition-Galerkin reduced-order discontinuous Galerkin time-domain method. Zbl 07776946
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane
1
2023
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime. Zbl 07776947
Feng, Yue; Ma, Ying
1
2023
Numerical solutions of generalized Rosenau-KDV-RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization. Zbl 07776954
Verma, Amit Kumar; Rawani, Mukesh Kumar
1
2023
A modified walk-on-sphere method for high dimensional fractional Poisson equation. Zbl 07776956
Jiao, Caiyu; Li, Changpin; Wang, Hexiang; Zhang, Zhongqiang
1
2023
A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. Zbl 07776962
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong
1
2023
A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. Zbl 07776965
Qiao, Leijie; Qiu, Wenlin; Tang, Bo
1
2023
Error analysis of a fully discrete projection method for magnetohydrodynamic system. Zbl 07776970
Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng
1
2023
A new stable, explicit, and generic third-order method for simulating conductive heat transfer. Zbl 07776972
Kovács, Endre; Nagy, Ádám
1
2023
A novel linearized and momentum-preserving Fourier pseudo-spectral scheme for the Rosenau-Korteweg de Vries equation. Zbl 07776974
Jiang, Chaolong; Cui, Jin; Cai, Wenjun; Wang, Yushun
1
2023
Numerical approximation of the optimal control of a population dynamics model. Zbl 07776975
Alahyane, Mohamed; Soufyane, Abdelaziz; Zahri, Mostafa
1
2023
A novel approach for the solution of fractional diffusion problems with conformable derivative. Zbl 07776989
Bayrak, Mine A.; Demir, Ali; Ozbilge, Ebru
1
2023
Displacement-pseudostress formulation for the linear elasticity spectral problem. Zbl 07776995
Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo
1
2023
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. Zbl 07777001
Tan, Zengqiang; Ran, Maohua
1
2023
A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. Zbl 07777005
Xu, Minqiang; Lin, Runchang; Zou, Qingsong
1
2023
A systematic study on weak Galerkin finite element method for second-order parabolic problems. Zbl 07777013
Deka, Bhupen; Kumar, Naresh
1
2023
On two-dimensional weakly singular fractional partial integro-differential equations and dual Bernstein polynomials. Zbl 07777017
Sayevand, Khosro; Mirzaee, Farshid; Masti, Imman
1
2023
A meshfree radial basis function method for simulation of multi-dimensional conservation problems. Zbl 07777020
Foy, Brody H.; Burrage, Kevin; Turner, Ian
1
2023
A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. Zbl 07777021
Fardi, Mojtaba
1
2023
A kernel-based method for solving the time-fractional diffusion equation. Zbl 07777024
Fardi, Mojtaba
1
2023
\(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. Zbl 07777356
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo
1
2023
Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. Zbl 07777359
Li, Jiyong; Jin, Xiaoqian
1
2023
A Bochev-Dohrmann-Gunzburger stabilized method for Maxwell eigenproblem. Zbl 07777379
Du, Zhijie; Duan, Huoyuan; Wang, Can; Zhang, Qiuyu
1
2023
A simplified primal-dual weak Galerkin finite element method for Fokker-Planck-type equations. Zbl 1528.65113
Li, Dan; Wang, Chunmei
1
2023
High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. Zbl 07777387
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
1
2023
A novel convenient finite difference method for shallow water waves derived by fifth-order Kortweg and de-Vries-type equation. Zbl 07779709
Poochinapan, Kanyuta; Wongsaijai, Ben
1
2023
Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations. Zbl 07779712
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae
1
2023
A study of distributed-order time fractional diffusion models with continuous distribution weight functions. Zbl 07779715
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy
1
2023
Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 07779717
Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong
1
2023
Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. Zbl 07779725
Zhang, Hui; Jiang, Xiaoyun
1
2023
Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system. Zbl 07777090
Gupta, Vidushi; Jarad, Fahd; Valliammal, Natarajan; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy
4
2022
European option pricing models described by fractional operators with classical and generalized Mittag-Leffler kernels. Zbl 07777095
Yavuz, Mehmet
4
2022
A stable computational approach to analyze semi-relativistic behavior of fractional evolutionary problems. Zbl 1527.65106
Hamid, Muhammad; Usman, Muhammad; Wang, Wei; Tian, Zhenfu
3
2022
Linearized stable spectral method to analyze two-dimensional nonlinear evolutionary and reaction-diffusion models. Zbl 1527.65105
Hamid, Muhammad; Usman, Muhammad; Haq, Rizwan UI; Tian, Zhenfu; Wang, Wei
3
2022
A new semi-analytic solution of fractional sixth order Drinfeld-Sokolov-Satsuma-Hirota equation. Zbl 07777091
Arafa, Anas; Hagag, Ahmed
3
2022
Jacobi collocation method for the fractional advection-dispersion equation arising in porous media. Zbl 07777106
Singh, Harendra
3
2022
Results on approximate controllability of nondensely defined fractional neutral stochastic differential systems. Zbl 07778268
Dineshkumar, C.; Udhayakumar, R.
3
2022
A high-order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations. Zbl 07778281
Abedian, Rooholah; Dehghan, Mehdi
3
2022
Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential. Zbl 07775895
Pei, Shuaichao; Hou, Yanren; Yan, Wenjing
2
2022
An interpolation method for the optimal control problem governed by the elliptic convection-diffusion equation. Zbl 07777078
Darehmiraki, Majid; Rezazadeh, Arezou; Ahmadian, Ali; Salahshour, Soheil
2
2022
A generalized differential quadrature algorithm for simulating magnetohydrodynamic peristaltic flow of blood-based nanofluid containing magnetite nanoparticles: a physiological application. Zbl 07777108
Ashraf, Muhammad Usman; Qasim, Muhammad; Wakif, Abderrahim; Afridi, Muhammad Idrees; Animasaun, Isaac L.
2
2022
Mathematical modeling for novel coronavirus (COVID-19) and control. Zbl 07778269
Alqarni, Marei Saeed; Alghamdi, Metib; Muhammad, Taseer; Alshomrani, Ali Saleh; Khan, Muhammad Altaf
2
2022
Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features. Zbl 07778270
Usman; Khan, M. Ijaz; Shah, Faisal; Khan, Sami Ullah; Ghaffari, Abuzar; Chu, Yu-Ming
2
2022
Numerical solution of singularly perturbed 2D parabolic initial-boundary-value problems based on reproducing kernel theory: error and stability analysis. Zbl 07778275
Fardi, Mojtaba; Ghasemi, Mehdi
2
2022
On the nondifferentiable exact solutions to Schamel’s equation with local fractional derivative on Cantor sets. Zbl 07778295
Ghanbari, Behzad
2
2022
Numerical analysis of a second order ensemble method for evolutionary magnetohydrodynamics equations at small magnetic Reynolds number. Zbl 07778302
Carter, John; Jiang, Nan
2
2022
Decoupled and linearized scalar auxiliary variable finite element method for the time-dependent incompressible magnetohydrodynamic equations: unconditional stability and convergence analysis. Zbl 07778305
Zhang, Tong; Yang, Jinting
2
2022
Pattern selection in the Schnakenberg equations: from normal to anomalous diffusion. Zbl 07779681
Khudhair, Hatim K.; Zhang, Yanzhi; Fukawa, Nobuyuki
2
2022
A fractional model for anomalous diffusion with increased variability: analysis, algorithms and applications to interface problems. Zbl 07779691
D&rsquo;Elia, Marta; Glusa, Christian
2
2022
Additive Schwarz preconditioners for \(C^0\) Interior penalty methods for the obstacle problem of clamped Kirchhoff plates. Zbl 07775896
Brenner, Susanne C.; Sung, Li-Yeng; Wang, Kening
1
2022
Fully spectral-Galerkin method for the one- and two-dimensional fourth-order time-fractional partial integro-differential equations with a weakly singular kernel. Zbl 07777079
Fakhar-Izadi, Farhad
1
2022
Numerical solution of fractional partial differential equations via Haar wavelet. Zbl 07777082
Zada, Laique; Aziz, Imran
1
2022
On the asymptotic behavior of a second-order general differential equation. Zbl 07777084
Say, Fatih
1
2022
Numerical and mathematical analysis of induction motor by means of AB-fractal-fractional differentiation actuated by drilling system. Zbl 07777087
Abro, Kashif Ali; Atangana, Abdon
1
2022
Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold-blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces and nonlinear thermal radiation. Zbl 07777088
Khan, Umair; Bilal, Sardar; Zaib, A.; Makinde, O. D.; Wakif, Abderrahim
1
2022
Numerical simulation for entropy optimized nonlinear radiative flow of GO-\((\text{Al}_2\text{O}_3)\) magneto nanomaterials with auto catalysis chemical reaction. Zbl 07777089
Shaw, Sachin; Mabood, Fazle; Muhammad, Taseer; Nayak, Manoj Kumar; Alghamdi, Metib
1
2022
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method. Zbl 07777098
Kumar, Sachin
1
2022
New results concerning to approximate controllability of fractional integro-differential evolution equations of order \(1 < r < 2\). Zbl 07777099
Mohan Raja, M.; Vijayakumar, V.
1
2022
A numerical analysis for fractional model of the spread of pests in tea plants. Zbl 07777101
Kumar, Sunil; Kumar, Ajay; Jleli, Mohamed
1
2022
Half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter. Zbl 07777103
Ergün, Abdullah; Amirov, Rauf
1
2022
Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water-based nanofluids with metal/metal oxide nanomaterials: a proper application of the revised two-phase nanofluid model with convective heating and through-flow boundary conditions. Zbl 07777105
Wakif, Abderrahim; Sehaqui, Rachid
1
2022
A formally second-order backward differentiation formula sinc-collocation method for the Volterra integro-differential equation with a weakly singular kernel based on the double exponential transformation. Zbl 07778273
Qiu, Wenlin; Xu, Da; Guo, Jing
1
2022
Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. Zbl 07778285
Oruç, Ömer
1
2022
Numerical study and chaotic oscillations for aerodynamic model of wind turbine via fractal and fractional differential operators. Zbl 07778291
Abro, Kashif Ali
1
2022
Numerical analysis for a class of coupled system of singularly perturbed time-dependent convection-diffusion equations with a discontinuous source term. Zbl 07778303
Rao, S. Chandra Sekhara; Chawla, Sheetal; Chaturvedi, Abhay Kumar
1
2022
Numerical solution of fractional Dullin-Gottwald-Holm equation for solitary shallow water waves. Zbl 07778308
Saha Ray, Santanu; Sagar, B.
1
2022
Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects. Zbl 07779673
Jiang, Kun; Ju, Lili; Li, Jingwei; Li, Xiao
1
2022
Second-order, fully decoupled, linearized, and unconditionally stable scalar auxiliary variable schemes for Cahn-Hilliard-Darcy system. Zbl 07779674
Gao, Yali; He, Xiaoming; Nie, Yufeng
1
2022
Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow. Zbl 07779676
Layton, William; Pei, Wenlong; Qin, Yi; Trenchea, Catalin
1
2022
A new study on existence and uniqueness of nonlocal fractional delay differential systems of order \(1 < r < 2\) in Banach spaces. Zbl 07775996
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
14
2021
Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. Zbl 07776009
Vijayakumar, V.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet
12
2021
The reducing rank method to solve third-order Duffing equation with the homotopy perturbation. Zbl 07776044
He, Ji-Huan; El-Dib, Yusry O.
11
2021
A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay. Zbl 07777720
Vijayakumar, V.; Udhayakumar, R.
11
2021
A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials. Zbl 07776012
Kumar, Sunil; Kumar, Ranbir; Osman, M. S.; Samet, Bessem
10
2021
New numerical simulation for fractional Benney-Lin equation arising in falling film problems using two novel techniques. Zbl 07777696
Gao, Wei; Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baskonus, Haci Mehmet
8
2021
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283 Dehghan Takht Fooladi, Mehdi
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89 Huang, Yunqing
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79 Zhang, Zhimin
78 Mohanty, Ranjan Kumar
75 Băleanu, Dumitru I.
71 Feng, Xinlong
69 Abbaszadeh, Mostafa
69 Chen, Yanping
67 Rui, Hongxing
66 Li, Hong
63 Li, Jian
60 Sun, Zhizhong
58 Chen, Zhangxin
58 Li, Jichun
58 Liu, Yang
56 Ruiz-Baier, Ricardo
55 Huang, Pengzhan
55 Rebholz, Leo G.
55 Xu, Da
52 Liu, Fawang
52 Ye, Xiu
50 Hou, Yanren
49 Yang, Xiaofeng
45 Yuan, Guangwei
45 Zhang, Shangyou
44 Zhang, Tong
43 Li, Zi-Cai
41 Heuer, Norbert
41 Khaliq, Abdul Q. M.
41 Li, Meng
40 Chen, Ching-Shyang
40 Dai, Weizhong
40 He, Xiaoming
40 Macías-Díaz, Jorge Eduardo
40 Wang, Cheng
39 Bhrawy, Ali Hassan
39 Zhang, Zhiyue
38 Chen, Wen
38 Demkowicz, Leszek F.
38 Lin, Tao
38 Rozza, Gianluigi
38 Shang, Yueqiang
37 Bürger, Raimund
37 Chen, Chuanjun
36 Führer, Thomas
36 Oyarzúa, Ricardo
35 Karageorghis, Andreas
35 Layton, William J.
35 Li, Xiaoli
35 Liu, Chein-Shan
35 Mohebbi, Akbar
35 Omrani, Khaled
35 Zhang, Jun
34 Li, Xiaolin
34 Mei, Liquan
33 Babuška, Ivo
33 Kurganov, Alexander
33 Quarteroni, Alfio M.
32 Antonietti, Paola Francesca
32 Doha, Eid H.
32 Feng, Minfu
32 Pani, Amiya Kumar
32 Yıldırım, Ahmet
32 Zhang, Luming
31 Carstensen, Carsten
31 Fu, Hongfei
31 Wang, Yuanming
31 Zheng, Xiangcheng
30 Arqub, Omar Abu
30 Ge, Yongbin
30 Li, Zhilin
30 Lin, Ji
30 Lubuma, Jean Mbaro-Saman
30 Luo, Zhendong
30 Manafian Heris, Jalil
30 Yüzbaşı, Şuayip
29 Sun, Weiwei
29 Zaky, Mahmoud A.
28 Abbasbandy, Saeid
28 Mu, Lin
28 Sezer, Mehmet
28 Wang, Junping
28 Zhou, Zhaojie
27 Herbin, Raphaèle
27 Kwak, Do Young
27 Manzini, Gianmarco
27 Pan, Kejia
27 Parand, Kourosh
27 Sheng, Zhiqiang
27 Turner, Ian William
27 Xie, Xiaoping
27 Zhang, Xu
27 Zheng, Haibiao
26 Chen, Wenbin
26 Hayat, Tasawar
26 John, Volker
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824 Journal of Computational and Applied Mathematics
759 Applied Mathematics and Computation
744 Numerical Methods for Partial Differential Equations
732 Journal of Computational Physics
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353 International Journal of Computer Mathematics
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189 SIAM Journal on Numerical Analysis
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176 Advances in Difference Equations
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57 BIT
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35 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
35 Discrete and Continuous Dynamical Systems. Series S
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22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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19 Inverse Problems
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1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)

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