A class of singularly perturbed initial boundary problem for reaction diffusion equation

Xie Feng

doi:10.1007/bf02835473

A class of singularly perturbed initial boundary problem for reaction diffusion equation

Analysis in Theory and Applications ◽

10.1007/bf02835473 ◽

2003 ◽

Vol 19 (1) ◽

pp. 14-19 ◽

Cited By ~ 1

Author(s):

Xie Feng

Keyword(s):

Diffusion Equation ◽

Boundary Problem ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Initial Boundary Problem

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The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512060115 ◽

2012 ◽

Vol 52 (6) ◽

pp. 926-931 ◽

Cited By ~ 4

Author(s):

N. N. Nefedov ◽

A. G. Nikitin

Keyword(s):

Diffusion Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Initial Boundary Value

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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 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 ◽

Cited By ~ 6

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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Initial-boundary value problems for a reaction-diffusion equation

Journal of Mathematical Physics ◽

10.1063/1.5118767 ◽

2019 ◽

Vol 60 (8) ◽

pp. 081509 ◽

Cited By ~ 1

Author(s):

A. Alexandrou Himonas ◽

Dionyssios Mantzavinos ◽

Fangchi Yan

Keyword(s):

Diffusion Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Reaction Diffusion Equation ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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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 ◽

Cited By ~ 1

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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Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509050078 ◽

2009 ◽

Vol 49 (5) ◽

pp. 810-826

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Spherical Symmetry ◽

Reaction Diffusion ◽

Difference Schemes ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Finite Difference Schemes

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Singular perturbation of initial boundary value problems of reaction diffusion equation with delay

Applied Mathematics and Mechanics ◽

10.1007/bf02451062 ◽

1994 ◽

Vol 15 (3) ◽

pp. 267-273 ◽

Cited By ~ 2

Author(s):

Zhang Xiang

Keyword(s):

Diffusion Equation ◽

Singular Perturbation ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Reaction Diffusion Equation ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Equation With Delay

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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) ◽

Cited By ~ 5

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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A free boundary problem for a convective reaction-diffusion equation

Nonlinear Analysis ◽

10.1016/0362-546x(94)90134-1 ◽

1994 ◽

Vol 23 (11) ◽

pp. 1391-1399

Author(s):

Junyu Wang ◽

Dawei Zheng ◽

Xuekong Wang

Keyword(s):

Free Boundary ◽

Diffusion Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

A Free Boundary Problem

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Stable equilibria of a singularly perturbed reaction–diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface

Journal of Evolution Equations ◽

10.1007/s00028-015-0304-4 ◽

2015 ◽

Vol 16 (2) ◽

pp. 317-339

Author(s):

Arnaldo Simal do Nascimento ◽

Maicon Sônego

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Degenerate Equation ◽

Smooth Hypersurface ◽

Stable Equilibria

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