Improved difference scheme of the solution decomposition method for a singularly perturbed reaction-diffusion equation

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543811020155 ◽

2011 ◽

Vol 272 (S1) ◽

pp. 197-214 ◽

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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Difference scheme of the solution decomposition method for a singularly perturbed parabolic reaction–diffusion equation

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rjnamm.2010.017 ◽

2010 ◽

Vol 25 (3) ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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Difference scheme of highest accuracy order for a singularly perturbed reaction–diffusion equation based on the solution decomposition method

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543816020231 ◽

2016 ◽

Vol 292 (S1) ◽

pp. 262-275

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

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A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510120043 ◽

2010 ◽

Vol 50 (12) ◽

pp. 2003-2022 ◽

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Diffusion Equation ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511060169 ◽

2011 ◽

Vol 51 (6) ◽

pp. 1020-1049 ◽

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Diffusion Equation ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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COMPARISON OF FINITE DIFFERENCE SCHEME AND ADOMIAN DECOMPOSITION METHOD FOR SOLVING REACTION DIFFUSION EQUATION WITH BLOW UP

Far East Journal of Applied Mathematics ◽

10.17654/am097040143 ◽

2017 ◽

Vol 97 (4) ◽

pp. 143-157

Author(s):

Hervé W. Ouedraogo ◽

Geneviève Barro ◽

Ousséni So ◽

Benjamin Mampassi

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Decomposition Method ◽

Blow Up ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Adomian Decomposition

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Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-00464-3_11 ◽

2009 ◽

pp. 116-127

Author(s):

Grigory Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Initial Condition

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Conservative finite difference scheme for a singularly perturbed elliptic reaction-diffusion equation: Approximation of solutions and derivatives

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510040068 ◽

2010 ◽

Vol 50 (4) ◽

pp. 633-645 ◽

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Conservative Finite Difference Scheme

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Computer Difference Scheme for a Singularly Perturbed Reaction- Diffusion Equation in the Presence of Perturbations

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-5-577-586 ◽

2016 ◽

Vol 23 (5) ◽

pp. 577-586

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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The Existence of a Boundary-Layer Stationary Solution to a Reaction–Diffusion Equation with Singularly Perturbed Neumann Boundary Condition

Moscow University Physics Bulletin ◽

10.3103/s0027134920050185 ◽

2020 ◽

Vol 75 (5) ◽

pp. 409-414

Author(s):

N. N. Nefedov ◽

N. N. Deryugina

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Diffusion Equation ◽

Stationary Solution ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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