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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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...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 Lin, Yanping
11 Omrani, Khaled
11 Stephan, Ernst Peter
10 Akgül, Ali
10 Hou, Yanren
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 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 Rebholz, Leo G.
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 Chou, So-Hsiang
7 Gómez-Aguilar, José Francisco
7 He, Wenming
7 Lazarov, Raytcho D.
7 Li, Hong
7 Li, Kaitai
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, Wen
6 Chu, Yuming
6 Dağ, İdris
6 Eymard, Robert
6 Farhloul, Mohamed
6 Gao, Zhiming
6 Gülsu, Mustafa
6 Hu, Xiuling
6 Jafari, Hossein
6 Karageorghis, Andreas
6 Kwak, Do Young
6 Ma, Heping
6 Macías-Díaz, Jorge Eduardo
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 3,366 more Authors
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Fields

2,332 Numerical analysis (65-XX)
1,798 Partial differential equations (35-XX)
574 Fluid mechanics (76-XX)
155 Mechanics of deformable solids (74-XX)
69 Ordinary differential equations (34-XX)
67 Biology and other natural sciences (92-XX)
63 Classical thermodynamics, heat transfer (80-XX)
58 Optics, electromagnetic theory (78-XX)
56 Integral equations (45-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
40 Geophysics (86-XX)
35 Real functions (26-XX)
31 Probability theory and stochastic processes (60-XX)
30 Statistical mechanics, structure of matter (82-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Approximations and expansions (41-XX)
14 Potential theory (31-XX)
12 Computer science (68-XX)
10 Operator theory (47-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Integral transforms, operational calculus (44-XX)
9 Functional analysis (46-XX)
9 Systems theory; control (93-XX)
7 Special functions (33-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Combinatorics (05-XX)
4 Astronomy and astrophysics (85-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)
3 Operations research, mathematical programming (90-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

1,887 Publications have been cited 21,394 times in 14,375 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
424
2006
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
291
1992
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
275
2010
\(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069
Duarte, C. Armando; Oden, J. Tinsley
215
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.
169
2000
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
156
2002
Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
155
2007
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
145
2011
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
134
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
124
2005
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
119
2004
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
118
2010
Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055
Anguelov, Roumen; Lubuma, Jean M.-S.
117
2001
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
101
2015
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
97
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.
91
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.
86
2012
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
Saadatmandi, Abbas; Dehghan, Mehdi
84
2010
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
83
2008
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094
Mickens, Ronald E.
77
2007
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.
75
2004
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
74
2007
A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066
Spotz, W. F.; Carey, G. F.
74
1996
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
67
2013
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
64
2001
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
64
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
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
63
2013
Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048
Iliescu, Traian; Wang, Zhu
62
2014
ODE solvers and the method of lines. Zbl 0826.65082
Shampine, L. F.
61
1994
Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516
Ikonen, Samuli; Toivanen, Jari
61
2008
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
60
2005
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
60
2009
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.
59
2008
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
58
2005
Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101
Spotz, W. F.; Carey, G. F.
57
2001
Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024
Yi, Son-Young
56
2014
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
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
56
2013
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
56
2005
Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294
Mascotto, Lorenzo
55
2018
Finite volume methods on Voronoi meshes. Zbl 0903.65083
Mishev, Ilya D.
54
1998
Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059
Mickens, Ronald E.
54
1989
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
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067
Omrani, Khaled; Ayadi, Mekki
54
2008
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
53
2009
Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069
Rodríguez, Rodolfo
53
1994
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
53
2007
Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153
Arqub, Omar Abu
52
2018
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
52
2018
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380
Dehghan, M.; Shokri, Ali
52
2008
Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093
Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D.
51
2007
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
51
2015
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
50
2004
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 compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
49
2008
Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425
Park, Eun-Jae
48
2005
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.
48
1996
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
Dehghan, Mehdi; Lakestani, Mehrdad
48
2009
A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044
Yang, Danping
47
2001
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
Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091
Wu, Haijun; Li, Ronghua
47
2003
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
46
2006
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
46
2016
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
45
1990
A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455
Yi, Son-Young
45
2013
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
45
2012
A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079
Wu, Li; Allen, Myron B. III
44
1999
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.
44
2005
A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086
Mickens, Ronald E.; Jordan, P. M.
44
2004
\(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
44
2003
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
44
2012
High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078
Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W.
43
1985
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
43
2005
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
43
1995
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
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
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.
42
1998
Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016
de Roos, A. M.
42
1988
A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142
Shokri, Ali; Dehghan, Mehdi
42
2010
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
42
2010
Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102
Buckmire, Ron
42
2004
Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152
Liu, Nanshan; Lin, En-Bing
42
2010
Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137
Dehghan, Mehdi; Taleei, Ameneh
41
2010
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
41
2016
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099
Dehghan, Mehdi; Mirzaei, Davoud
40
2008
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M.
40
2002
Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows. Zbl 1364.76088
Layton, W.; Tran, H.; Trenchea, C.
39
2014
Trefftz method: A general theory. Zbl 0978.65114
Herrera, Ismael
39
2000
Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085
Mickens, Ronald E.
39
1999
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
Saadatmandi, Abbas; Dehghan, Mehdi
39
2007
A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations. Zbl 1274.65252
Chen, Chuanjun; Liu, Wei; Bi, Chunjia
38
2013
Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations. Zbl 1274.65270
Audouze, Christophe; De Vuyst, Florian; Nair, Prasanth B.
38
2013
On the SAV-DG method for a class of fourth order gradient flows. Zbl 07776958
Liu, Hailiang; Yin, Peimeng
2
2023
The divergence-free nonconforming virtual element method for the Navier-Stokes problem. Zbl 07776994
Zhang, Bei; Zhao, Jikun; Li, Meng
2
2023
A new \(\phi \)-FEM approach for problems with natural boundary conditions. Zbl 07779711
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei
2
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
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
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 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
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
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 07777384
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 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
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
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
1
2023
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
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
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
Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system. Zbl 07777090
Gupta, Vidushi; Jarad, Fahd; Valliammal, Natarajan; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy
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
Mathematical modeling for novel coronavirus (COVID-19) and control. Zbl 07778269
Alqarni, Marei Saeed; Alghamdi, Metib; Muhammad, Taseer; Alshomrani, Ali Saleh; Khan, Muhammad Altaf
1
2022
A high-order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations. Zbl 07778281
Abedian, Rooholah; Dehghan, Mehdi
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
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
1
2022
Pattern selection in the Schnakenberg equations: from normal to anomalous diffusion. Zbl 07779681
Khudhair, Hatim K.; Zhang, Yanzhi; Fukawa, Nobuyuki
1
2022
A stabilizer free weak Galerkin finite element method with supercloseness of order two. Zbl 07776000
Al-Taweel, Ahmed; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou
3
2021
Accurate and efficient algorithms with unconditional energy stability for the time fractional Cahn-Hilliard and Allen-Cahn equations. Zbl 07776088
Liu, Zhengguang; Li, Xiaoli; Huang, Jian
3
2021
A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay. Zbl 07777720
Vijayakumar, V.; Udhayakumar, R.
3
2021
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
2
2021
Symplectic-preserving Fourier spectral scheme for space fractional Klein-Gordon-Schrödinger equations. Zbl 07776001
Wang, Junjie
2
2021
A reduced-order modified finite difference method preserving unconditional energy-stability for the Allen-Cahn equation. Zbl 07776049
Li, Huanrong; Song, Zhengyuan; Zhang, Fuchen
2
2021
Barycentric rational method for solving biharmonic equation by depression of order. Zbl 07776055
Li, Jin; Cheng, Yongling
2
2021
A robust multigrid method for one dimensional immersed finite element method. Zbl 07776069
Wang, Saihua; Wang, Feng; Xu, Xuejun
2
2021
A class of new stable, explicit methods to solve the non-stationary heat equation. Zbl 07776081
Kovács, Endre
2
2021
Linear barycentric rational collocation method for solving heat conduction equation. Zbl 07777709
Li, Jin; Cheng, Yongling
2
2021
Local and parallel finite element methods based on two-grid discretizations for unsteady convection-diffusion problem. Zbl 07775889
Li, Qingtao; Du, Guangzhi
1
2021
On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation. Zbl 07775997
Ashyralyev, Allaberen; Al-Hammouri, Ahmad; Ashyralyyev, Charyyar
1
2021
New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro-differential systems. Zbl 07776003
Dineshkumar, C.; Udhayakumar, R.
1
2021
Haar-wavelet based approximation for pricing American options under linear complementarity formulations. Zbl 07776004
Kumar, Devendra; Deswal, Komal
1
2021
Numerical solutions for solving model time-fractional Fokker-Planck equation. Zbl 07776006
Mahdy, Amr M. S.
1
2021
A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients. Zbl 07776007
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Yong-Liang; Lyu, Pin; Carpentieri, Bruno
1
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
1
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
1
2021
A mathematical analysis of ongoing outbreak COVID-19 in India through nonsingular derivative. Zbl 07776014
Safare, Kiran Malathesha; Betageri, Virupaxappa Shekarappa; Prakasha, Doddabhadrappla Gowda; Veeresha, Pundikala; Kumar, Sunil
1
2021
A new high-order weighted essentially non-oscillatory scheme for non-linear degenerate parabolic equations. Zbl 07776016
Abedian, Rooholah
1
2021
A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods. Zbl 07776037
Kumar, Sunil; Ghosh, Surath; Kumar, Ranbir; Jleli, Mohamed
1
2021
Implicit meshless method to solve 2D fractional stochastic Tricomi-type equation defined on irregular domain occurring in fractal transonic flow. Zbl 07776043
Mirzaee, Farshid; Samadyar, Nasrin
1
2021
A fast temporal second-order difference scheme for the time-fractional subdiffusion equation. Zbl 07776047
Sun, Hong; Cao, Wanrong
1
2021
Modeling and numerical investigation of fractional-order bovine babesiosis disease. Zbl 07776053
Ahmad, Aqeel; Farman, Muhammad; Naik, Parvaiz Ahmad; Zafar, Nayab; Akgul, Ali; Saleem, Muhammad Umer
1
2021
The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation. Zbl 07776056
Bahia, Ghenaiet; Ouannas, Adel; Batiha, Iqbal M.; Odibat, Zaid
1
2021
Finite element method with the total stress variable for Biot’s consolidation model. Zbl 07776077
Qi, Wenya; Seshaiyer, Padmanabhan; Wang, Junping
1
2021
Simple and efficient continuous data assimilation of evolution equations via algebraic nudging. Zbl 07776087
Rebholz, Leo G.; Zerfas, Camille
1
2021
Weighted Hermite-Hadamard-Mercer type inequalities for convex functions. Zbl 07777691
İşcan, İmdat
1
2021
The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn-Hilliard equation. Zbl 07777697
Liu, Zhengguang; Li, Xiaoli
1
2021
Fully discrete \(\boldsymbol{T}\)-\(\boldsymbol{\psi}\) finite element method to solve a nonlinear induction hardening problem. Zbl 07777710
Kang, Tong; Wang, Ran; Zhang, Huai
1
2021
Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation. Zbl 07777717
Başhan, Ali; Yağmurlu, N. Murat; Uçar, Yusuf; Esen, Alaattin
1
2021
Fast high order difference schemes for the time fractional telegraph equation. Zbl 1452.65164
Liang, Yuxiang; Yao, Zhongsheng; Wang, Zhibo
18
2020
A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Zbl 1457.65146
Luo, Zhendong; Jin, Shiju
15
2020
Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay. Zbl 1452.65159
Hendy, Ahmed S.; Pimenov, Vladimir G.; Macías-Díaz, Jorge E.
8
2020
A fully conservative block-centered finite difference method for Darcy-Forchheimer incompressible miscible displacement problem. Zbl 1451.76083
Li, Xiaoli; Rui, Hongxing
6
2020
Stokes equations under nonlinear slip boundary conditions coupled with the heat equation: a priori error analysis. Zbl 1452.65331
Djoko, Jules K.; Konlack, Virginie S.; Mbehou, Mohamed
5
2020
Convergence of a positive nonlinear control volume finite element scheme for an anisotropic seawater intrusion model with sharp interfaces. Zbl 1452.65246
Oulhaj, Ahmed Ait Hammou; Maltese, David
3
2020
\(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
2
2020
A reduced-order extrapolating space-time continuous finite element method for the 2D Sobolev equation. Zbl 07777656
Yang, Jing; Luo, Zhendong
2
2020
The pointwise estimates of a conservative difference scheme for Burgers’ equation. Zbl 07777663
Zhang, Qifeng; Wang, Xuping; Sun, Zhi-zhong
2
2020
Staggered Taylor-Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain. Zbl 1450.65145
Du, Zhijie; Duan, Huoyuan; Liu, Wei
1
2020
On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems. Zbl 07771388
Chiyaneh, Akbar Barati; Duru, Hakki
1
2020
An adaptive finite element method for the sparse optimal control of fractional diffusion. Zbl 07771392
Otárola, Enrique
1
2020
Nonconforming quadrilateral \(EQ_1^{rot}\) finite element method for Ginzburg-Landau equation. Zbl 07771393
Shi, Dongyang; Liu, Qian
1
2020
Unconditionally maximum principle preserving finite element schemes for the surface Allen-Cahn type equations. Zbl 07771397
Xiao, Xufeng; He, Ruijian; Feng, Xinlong
1
2020
A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin-Bona-Mahony-type equation with nonsmooth solutions. Zbl 07771404
Lyu, Pin; Vong, Seakweng
1
2020
Construction and analysis of some nonstandard finite difference methods for the FitzHugh-Nagumo equation. Zbl 07771431
Agbavon, Koffi M.; Appadu, Appanah Rao
1
2020
Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization. Zbl 07771432
Yağmurlu, Nuri Murat; Karakaş, Ali Sercan
1
2020
A hybrid radial basis functions collocation technique to numerically solve fractional advection-diffusion models. Zbl 07777647
Hussain, Manzoor; Haq, Sirajul
1
2020
On refinements of some integral inequalities using improved power-mean integral inequalities. Zbl 07777660
Kadakal, Huriye
1
2020
Fast calculation based on a spatial two-grid finite element algorithm for a nonlinear space-time fractional diffusion model. Zbl 07777678
Liu, Yang; Liu, Nan; Li, Hong; Wang, Jinfeng
1
2020
Compact difference scheme for two-dimensional fourth-order nonlinear hyperbolic equation. Zbl 07777680
Li, Qing; Yang, Qing; Chen, Huanzhen
1
2020
Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes. Zbl 1419.65040
Adak, Dibyendu; Natarajan, E.; Kumar, Sarvesh
33
2019
A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1415.65237
Rahimkhani, Parisa; Ordokhani, Yadollah
28
2019
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
24
2019
Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. Zbl 1416.76185
Li, Shuguang
14
2019
A numerical approach for solving weakly singular partial integro-differential equations via two-dimensional-orthonormal Bernstein polynomials with the convergence analysis. Zbl 1418.65145
Mirzaee, Farshid; Alipour, Sahar; Samadyar, Nasrin
14
2019
Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174
Guo, Ruchi; Lin, Tao; Lin, Yanping
14
2019
Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method. Zbl 1431.65169
Bhowmik, Samir Kumar; Karakoc, Seydi B. G.
12
2019
High-order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo-Fabrizio fractional derivative. Zbl 1416.82040
Zhang, Min; Liu, Yang; Li, Hong
12
2019
Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions. Zbl 1418.65152
Mirzaee, Farshid; Alipour, Sahar
12
2019
A DGFEM for nondivergence form elliptic equations with cordes coefficients on curved domains. Zbl 1425.65163
Kawecki, Ellya L.
12
2019
A finite element approach for analysis and computational modelling of coupled reaction diffusion models. Zbl 1418.65138
Yadav, Om Prakash; Jiwari, Ram
10
2019
Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations. Zbl 1418.65099
He, Dongdong; Pan, Kejia
10
2019
Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem. Zbl 1418.65120
Babaei, Afshin; Banihashemi, Seddigheh
10
2019
A linear, decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction. Zbl 1423.76253
Li, Jian; Huang, Pengzhan; Zhang, Chong; Guo, Gaihui
10
2019
On the numerical approximation of \(p\)-biharmonic and \(\infty\)-biharmonic functions. Zbl 1419.65113
Katzourakis, Nikos; Pryer, Tristan
9
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
9
2019
Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar
9
2019
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279 Dehghan Takht Fooladi, Mehdi
104 Shi, Dongyang
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87 Huang, Yunqing
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75 Mohanty, Ranjan Kumar
68 Abbaszadeh, Mostafa
68 Băleanu, Dumitru I.
68 Zhang, Zhimin
67 Chen, Yanping
65 Feng, Xinlong
64 Rui, Hongxing
63 Li, Hong
62 Li, Jian
59 Sun, Zhizhong
58 Chen, Zhangxin
58 Li, Jichun
55 Liu, Yang
54 Ruiz-Baier, Ricardo
53 Xu, Da
51 Ye, Xiu
50 Huang, Pengzhan
50 Liu, Fawang
50 Macías-Díaz, Jorge Eduardo
48 Rebholz, Leo G.
46 Yang, Xiaofeng
44 Zhang, Tong
43 Li, Zi-Cai
43 Zhang, Shangyou
42 Hou, Yanren
41 Khaliq, Abdul Q. M.
41 Yuan, Guangwei
39 Bhrawy, Ali Hassan
39 Wang, Cheng
39 Zhang, Zhiyue
38 Chen, Wen
38 Dai, Weizhong
38 Demkowicz, Leszek F.
38 He, Xiaoming
38 Heuer, Norbert
37 Bürger, Raimund
37 Lin, Tao
37 Rozza, Gianluigi
37 Shang, Yueqiang
36 Führer, Thomas
36 Oyarzúa, Ricardo
35 Layton, William J.
35 Liu, Chein-Shan
35 Mohebbi, Akbar
35 Zhang, Jun
34 Karageorghis, Andreas
34 Li, Meng
34 Li, Xiaolin
34 Omrani, Khaled
33 Babuška, Ivo
33 Chen, Chuanjun
33 Kurganov, Alexander
33 Li, Xiaoli
33 Quarteroni, Alfio M.
32 Chen, Ching-Shyang
32 Pani, Amiya Kumar
32 Yıldırım, Ahmet
32 Zhang, Luming
31 Feng, Minfu
31 Mei, Liquan
31 Wang, Yuanming
30 Antonietti, Paola Francesca
30 Arqub, Omar Abu
30 Doha, Eid H.
30 Luo, Zhendong
30 Manafian Heris, Jalil
29 Carstensen, Carsten
29 Fu, Hongfei
29 Lubuma, Jean Mbaro-Saman
29 Sun, Weiwei
28 Li, Zhilin
28 Lin, Ji
28 Sezer, Mehmet
28 Wang, Junping
28 Zheng, Xiangcheng
27 Turner, Ian William
27 Yüzbaşı, Şuayip
27 Zaky, Mahmoud A.
27 Zhang, Xu
26 Abbasbandy, Saeid
26 Ge, Yongbin
26 Herbin, Raphaèle
26 Manzini, Gianmarco
26 Parand, Kourosh
26 Zheng, Haibiao
26 Zhou, Zhaojie
25 Baccouch, Mahboub
25 John, Volker
25 Kwak, Do Young
25 Lakestani, Mehrdad
25 Mickens, Ronald Elbert
25 Momani, Shaher M.
25 Nicaise, Serge
25 Nie, Yufeng
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823 Journal of Computational and Applied Mathematics
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731 Journal of Computational Physics
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