A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109141 ◽

2020 ◽

Vol 405 ◽

pp. 109141 ◽

Author(s):

Hui Zhang ◽

Xiaoyun Jiang ◽

Fanhai Zeng ◽

George Em Karniadakis

Keyword(s):

Spectral Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

Fractional Reaction

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High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.09.061 ◽

2019 ◽

Vol 77 (3) ◽

pp. 615-630 ◽

Author(s):

S.S. Alzahrani ◽

A.Q.M. Khaliq

Keyword(s):

Spectral Method ◽

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

Time Stepping ◽

High Order Time ◽

Fractional Reaction

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Fourier spectral method for higher order space fractional reaction–diffusion equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.04.020 ◽

2016 ◽

Vol 40 ◽

pp. 112-128 ◽

Author(s):

Edson Pindza ◽

Kolade M. Owolabi

Keyword(s):

Spectral Method ◽

Reaction Diffusion ◽

Higher Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

Fractional Reaction

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A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.11.015 ◽

2020 ◽

Vol 152 ◽

pp. 355-378 ◽

Author(s):

Zhe Yu ◽

Boying Wu ◽

Jiebao Sun ◽

Wenjie Liu

Keyword(s):

Spectral Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Jacobi Function ◽

Fractional Reaction

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A second-order operator splitting Fourier spectral method for fractional-in-space reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.007 ◽

2018 ◽

Vol 333 ◽

pp. 395-403 ◽

Author(s):

Hyun Geun Lee

Keyword(s):

Spectral Method ◽

Operator Splitting ◽

Reaction Diffusion ◽

Second Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

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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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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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