A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables

Jennifer J. Zhao

doi:10.1006/jmaa.1996.0393

A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0393 ◽

1996 ◽

Vol 203 (2) ◽

pp. 490-517 ◽

Cited By ~ 1

Author(s):

Jennifer J. Zhao

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

3D Space ◽

Nonlinear Parabolic

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A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10088 ◽

2003 ◽

Vol 20 (2) ◽

pp. 230-247 ◽

Cited By ~ 2

Author(s):

Ling-yun Zhang ◽

Zhi-zhong Sun

Keyword(s):

Difference Scheme ◽

Boundary Value ◽

Neumann Boundary ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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Finite difference scheme for one nonlinear parabolic integro-differential equation

Transactions of A Razmadze Mathematical Institute ◽

10.1016/j.trmi.2016.09.006 ◽

2016 ◽

Vol 170 (3) ◽

pp. 395-401

Author(s):

Temur Jangveladze ◽

Zurab Kiguradze

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Integro Differential Equation ◽

Nonlinear Parabolic

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Error bounds for finite-difference approximations for a class of nonlinear parabolic systems

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0790643-8 ◽

1985 ◽

Vol 45 (171) ◽

pp. 35-35 ◽

Cited By ~ 7

Author(s):

David Hoff ◽

Joel Smoller

Keyword(s):

Finite Difference ◽

Error Bounds ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Nonlinear Parabolic

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A class of convergent finite difference schemes for certain nonlinear parabolic systems

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160360605 ◽

1983 ◽

Vol 36 (6) ◽

pp. 785-808 ◽

Cited By ~ 12

Author(s):

Takaaki Nishida ◽

Joel Smoller

Keyword(s):

Finite Difference ◽

Parabolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10065 ◽

2003 ◽

Vol 19 (5) ◽

pp. 638-652 ◽

Cited By ~ 3

Author(s):

Ling-Yun Zhang ◽

Zhi-Zhong Sun

Keyword(s):

Difference Scheme ◽

Dirichlet Boundary ◽

Boundary Value ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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Convergence of Finite Difference Approximations to Nonlinear Parabolic Systems

Nonlinear partial differential equations - Contemporary Mathematics ◽

10.1090/conm/017/13 ◽

1983 ◽

pp. 117-124 ◽

Cited By ~ 1

Author(s):

T. Nishida ◽

J. Smoller

Keyword(s):

Finite Difference ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Nonlinear Parabolic

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A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142995293493 ◽

1998 ◽

Vol 35 (2) ◽

pp. 435-452 ◽

Cited By ~ 111

Author(s):

Clint N. Dawson ◽

Mary F. Wheeler ◽

Carol S. Woodward

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Parabolic Equations ◽

Finite Difference Scheme ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic

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On a weakly L ‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7853 ◽

2021 ◽

Author(s):

Mukesh Kumar Rawani ◽

Lajja Verma ◽

Amit Kumar Verma ◽

Ravi P. Agarwal

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Time Integration ◽

Parabolic Partial Differential Equations ◽

Integration Formula ◽

Nonlinear Parabolic ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite Difference Scheme

Applied Wave Mathematics II - Mathematics of Planet Earth ◽

10.1007/978-3-030-29951-4_14 ◽

2019 ◽

pp. 305-342

Author(s):

Aditya A. Ghodgaonkar ◽

Ivan C. Christov

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Parabolic Equations ◽

Finite Difference Scheme ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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A Nonlinear Finite Difference Scheme for Solving the Nonlinear Parabolic Two-Step Model

Computational and Information Science - Lecture Notes in Computer Science ◽

10.1007/978-3-540-30497-5_48 ◽

2004 ◽

pp. 304-309 ◽

Cited By ~ 1

Author(s):

Weizhong Dai ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Parabolic ◽

Step Model

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