On the numerical solutions of coupled nonlinear time-fractional reaction-diffusion equations

AIMS Mathematics ◽

10.3934/math.2021529 ◽

2021 ◽

Vol 6 (8) ◽

pp. 9109-9125

Author(s):

Alesandra Jannelli ◽

◽

Maria Paola Speciale

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

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Numerical solutions for fractional reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.11.012 ◽

2008 ◽

Vol 55 (10) ◽

pp. 2212-2226 ◽

Author(s):

Boris Baeumer ◽

Mihály Kovács ◽

Mark M. Meerschaert

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional 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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Optimal control of fractional reaction-diffusion equations with Poisson jumps

The Journal of Analysis ◽

10.1007/s41478-018-0097-2 ◽

2018 ◽

Vol 27 (2) ◽

pp. 605-621 ◽

Author(s):

N. Durga ◽

P. Muthukumar

Keyword(s):

Optimal Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Poisson Jumps ◽

Fractional Reaction

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An efficient wavelet-based method for the numerical solutions of nonlinear coupled reaction–diffusion equations in biochemical engineering

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01014-3 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1154-1168

Author(s):

M. Mahalakshmi ◽

G. Hariharan

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Biochemical Engineering ◽

Coupled Reaction

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Fast implicit integration factor method for nonlinear space Riesz fractional reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112935 ◽

2020 ◽

Vol 378 ◽

pp. 112935 ◽

Author(s):

Huan-Yan Jian ◽

Ting-Zhu Huang ◽

Xian-Ming Gu ◽

Xi-Le Zhao ◽

Yong-Liang Zhao

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Implicit Integration ◽

Factor Method ◽

Fractional Reaction

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A framework for exploring numerical solutions of advection–reaction–diffusion equations using a GPU-based approach

Computing and Visualization in Science ◽

10.1007/s00791-008-0086-0 ◽

2008 ◽

Vol 12 (4) ◽

pp. 155-170 ◽

Author(s):

Allen R. Sanderson ◽

Miriah D. Meyer ◽

Robert M. Kirby ◽

Chris R. Johnson

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Asymptotic behavior of the numerical solutions for a system of nonlinear integrodifferential reaction–diffusion equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00052-6 ◽

2001 ◽

Vol 39 (2) ◽

pp. 205-223 ◽

Author(s):

Yuan-Ming Wang

Keyword(s):

Asymptotic Behavior ◽

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2165 ◽

2007 ◽

Vol 74 (1) ◽

pp. 138-158 ◽

Author(s):

Q. Yu ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Linear Space ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Adomian Decomposition ◽

Fractional Reaction

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A second-order efficientL-stable numerical method for space fractional reaction–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1435865 ◽

2018 ◽

Vol 95 (6-7) ◽

pp. 1408-1422 ◽

Author(s):

M. Yousuf

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Second Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stable Numerical Method ◽

Fractional Reaction

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Existence of weak solutions for the nonlocal energy-weighted fractional reaction–diffusion equations

Journal of Evolution Equations ◽

10.1007/s00028-019-00494-9 ◽

2019 ◽

Vol 19 (3) ◽

pp. 883-914

Author(s):

Mao-Sheng Chang ◽

Hsi-Chun Wu

Keyword(s):

Weak Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Existence Of Weak Solutions ◽

Fractional Reaction

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