Semi-implicit Hermite–Galerkin Spectral Method for Distributed-Order Fractional-in-Space Nonlinear Reaction–Diffusion Equations in Multidimensional Unbounded Domains

Journal of Scientific Computing ◽

10.1007/s10915-020-01320-y ◽

2020 ◽

Vol 85 (1) ◽

Author(s):

Shimin Guo ◽

Liquan Mei ◽

Can Li ◽

Zhengqiang Zhang ◽

Ying Li

Keyword(s):

Spectral Method ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Galerkin Spectral Method ◽

Distributed Order

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Kernel sections of multi-valued processes with application to the nonlinear reaction-diffusion equations in unbounded domains

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-09-01150-0 ◽

2009 ◽

Vol 67 (2) ◽

pp. 343-378 ◽

Author(s):

Yejuan Wang ◽

Shengfan Zhou

Keyword(s):

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Finite difference/Hermite–Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction–diffusion equation in unbounded domains

Applied Mathematical Modelling ◽

10.1016/j.apm.2019.01.018 ◽

2019 ◽

Vol 70 ◽

pp. 246-263 ◽

Author(s):

Shimin Guo ◽

Liquan Mei ◽

Zhengqiang Zhang ◽

Jie Chen ◽

Yuan He ◽

...

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Spectral Method ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlinear Reaction ◽

Nonlinear Reaction Diffusion Equation ◽

Galerkin Spectral Method

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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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Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.04.002 ◽

2021 ◽

Vol 93 ◽

pp. 1-19

Author(s):

Shimin Guo ◽

Yaping Chen ◽

Liquan Mei ◽

Yining Song

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Spectral Method ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Distributed Order ◽

Fractional 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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