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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Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.06.001 ◽

2008 ◽

Vol 347 (1) ◽

pp. 123-135 ◽

Author(s):

Arnaldo Simal do Nascimento ◽

Renato José de Moura

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Stable Equilibria

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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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Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition

Boundary Value Problems ◽

10.1186/s13661-018-1069-9 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Jian Wang ◽

Hui Yang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Nonlinear Absorption ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

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 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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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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Asymptotic behavior of solutions of a reaction–diffusion equation with inhomogeneous Robin boundary condition and free boundary condition

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.07.019 ◽

2016 ◽

Vol 28 ◽

pp. 126-139

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Boundary Condition ◽

Asymptotic Behavior ◽

Free Boundary ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Robin Boundary Condition ◽

Free Boundary Condition ◽

Reaction Diffusion Equation ◽

Asymptotic Behavior Of Solutions ◽

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Existence and Nonexistence of Solutions of the Reaction-Diffusion Equation with Robin Boundary Condition

Ukrainian Mathematical Journal ◽

10.1007/s11253-016-1235-0 ◽

2016 ◽

Vol 68 (3) ◽

pp. 475-484 ◽

Author(s):

E. Öztürk ◽

K. Kallı

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Robin Boundary Condition ◽

Reaction Diffusion Equation ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

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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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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 ◽

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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