The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction–diffusion equations

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(01)00247-8 ◽

2002 ◽

Vol 14 (3) ◽

pp. 513-522 ◽

Author(s):

A.H. Khater ◽

W. Malfliet ◽

D.K. Callebaut ◽

E.S. Kamel

Keyword(s):

Analytical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Exact Analytical Solutions ◽

Simple Transformation ◽

Nonlinear Reaction ◽

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Exact analytical solutions for nonlinear reaction–diffusion equations

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(02)00590-8 ◽

2003 ◽

Vol 18 (1) ◽

pp. 97-105 ◽

Author(s):

Chunping Liu

Keyword(s):

Analytical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Exact Analytical Solutions ◽

Nonlinear Reaction

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Approximate analytical solutions of generalized linear and nonlinear reaction–diffusion equations in an infinite domain

Physics Letters A ◽

10.1016/j.physleta.2009.11.020 ◽

2010 ◽

Vol 374 (6) ◽

pp. 829-835 ◽

Author(s):

S.Z. Rida

Keyword(s):

Analytical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Infinite Domain ◽

Nonlinear Reaction ◽

Approximate Analytical Solutions ◽

Linear And Nonlinear

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A linearized spectral collocation method for Riesz space fractional nonlinear reaction‐diffusion equations

Computational and Mathematical Methods ◽

10.1002/cmm4.1177 ◽

2021 ◽

Author(s):

Mustafa Almushaira

Keyword(s):

Collocation Method ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Nonlinear Reaction

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ADER finite volume schemes for nonlinear reaction–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.12.001 ◽

2009 ◽

Vol 59 (1) ◽

pp. 73-100 ◽

Author(s):

Eleuterio F. Toro ◽

Arturo Hidalgo

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Nonlinear Reaction

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Bounds on Solutions to Certain Nonlinear Reaction-Diffusion Equations

SIAM Journal on Applied Mathematics ◽

10.1137/0128031 ◽

1975 ◽

Vol 28 (2) ◽

pp. 362-366 ◽

Author(s):

F. J. Testa

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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A Closer Look of Nonlinear Reaction-Diffusion Equations

10.52305/rrsy7475 ◽

2020 ◽

Author(s):

L. Rajendran ◽

R. Swaminathan ◽

M. Chitra Devi

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.09.026 ◽

2021 ◽

Author(s):

Yanfang Lei ◽

Junmin Li ◽

Ailiang Zhao

Keyword(s):

Tracking Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Varying ◽

Varying Coefficients ◽

Nonlinear Reaction ◽

Asymptotic Tracking ◽

Time Varying Coefficients ◽

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The interplay of nonlinear reaction and convection in dead core behavior for reaction-diffusion equations

Nonlinear Analysis ◽

10.1016/0362-546x(92)90156-9 ◽

1992 ◽

Vol 18 (12) ◽

pp. 1113-1123 ◽

Author(s):

Ross Pinsky

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

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Nonlinear reaction-diffusion equations with delay: some theorems, test problems, exact and numerical solutions

Journal of Physics Conference Series ◽

10.1088/1742-6596/937/1/012041 ◽

2017 ◽

Vol 937 ◽

pp. 012041

Author(s):

A D Polyanin ◽

V G Sorokin

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Test Problems ◽

Nonlinear Reaction ◽

Equations With Delay

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Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.012 ◽

2019 ◽

Vol 90 ◽

pp. 49-53 ◽

Author(s):

Andrei D. Polyanin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Nonlinear Reaction ◽

Equations With Delay

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