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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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.065 ◽

2019 ◽

Vol 346 ◽

pp. 452-464 ◽

Cited By ~ 8

Author(s):

Xiujun Cheng ◽

Jinqiao Duan ◽

Dongfang Li

Keyword(s):

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Adi Scheme ◽

Compact Adi Scheme

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A space-time spectral collocation method for the 2-dimensional nonlinear Riesz space fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5124 ◽

2018 ◽

Vol 41 (16) ◽

pp. 6130-6144 ◽

Cited By ~ 6

Author(s):

Hui Li ◽

Wei Jiang

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Space Time ◽

Riesz Space ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Fractional Diffusion Equations

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Jacobi–Gauss–Lobatto collocation method for solving nonlinear reaction–diffusion equations subject to Dirichlet boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.09.009 ◽

2016 ◽

Vol 40 (3) ◽

pp. 1703-1716 ◽

Cited By ~ 7

Author(s):

A.H. Bhrawy ◽

E.H. Doha ◽

M.A. Abdelkawy ◽

R.A. Van Gorder

Keyword(s):

Boundary Conditions ◽

Collocation Method ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

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 ◽

Cited By ~ 29

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 ◽

Cited By ~ 3

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 ◽

Fuzzy Adaptive

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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 ◽

Cited By ~ 2

Author(s):

Ross Pinsky

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Dead Core

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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 ◽

Cited By ~ 9

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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