An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110083 ◽

2021 ◽

Vol 428 ◽

pp. 110083

Author(s):

Huifang Yuan

Keyword(s):

Galerkin Method ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spectral Galerkin Method ◽

Fractional Reaction

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A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0093 ◽

2021 ◽

Vol 14 (3) ◽

pp. 738-772

Author(s):

Shimin Guo

Keyword(s):

Galerkin Method ◽

Three Dimensional ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spectral Galerkin Method ◽

Coupled Reaction

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Error estimates of a spectral Petrov–Galerkin method for two-sided fractional reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125045 ◽

2020 ◽

Vol 374 ◽

pp. 125045 ◽

Author(s):

Zhaopeng Hao ◽

Guang Lin ◽

Zhongqiang Zhang

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

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Numerical Solution of Travelling Waves for Reaction-Diffusion Equations Via the Sinc-Galerkin Method

Computation and Control II ◽

10.1007/978-1-4612-0427-5_7 ◽

1991 ◽

pp. 95-113 ◽

Author(s):

Jack D. Dockery

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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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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Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains

Nonlinearity ◽

10.1088/1361-6544/ac0125 ◽

2021 ◽

Vol 34 (6) ◽

pp. 3969-4016

Author(s):

Zhang Chen ◽

Bixiang Wang

Keyword(s):

Invariant Measures ◽

Unbounded Domains ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Delay

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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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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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Solutions of the time fractional reaction–diffusion equations with residual power series method

Advances in Mechanical Engineering ◽

10.1177/1687814016670867 ◽

2016 ◽

Vol 8 (10) ◽

pp. 168781401667086 ◽

Author(s):

Fairouz Tchier ◽

Mustafa Inc ◽

Zeliha S Korpinar ◽

Dumitru Baleanu

Keyword(s):

Power Series ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Series Method ◽

Power Series Method ◽

Residual Power Series Method ◽

Residual Power Series ◽

Residual Power ◽

Fractional Reaction

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