Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.04.001 ◽

2019 ◽

Vol 361 ◽

pp. 157-175 ◽

Author(s):

S.S. Alzahrani ◽

A.Q.M. Khaliq

Keyword(s):

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Fractional Reaction

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Fast high-order method for multi-dimensional space-fractional reaction–diffusion equations with general boundary conditions

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.11.001 ◽

2021 ◽

Vol 182 ◽

pp. 235-258

Author(s):

M. Almushaira ◽

H. Bhatt ◽

A.M. Al-rassas

Keyword(s):

Boundary Conditions ◽

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

General Boundary Conditions ◽

Order Method ◽

High Order 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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A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.02.005 ◽

2014 ◽

Vol 38 (15-16) ◽

pp. 3755-3762 ◽

Author(s):

Qianqian Yang ◽

Ian Turner ◽

Timothy Moroney ◽

Fawang Liu

Keyword(s):

Finite Volume ◽

Dimensional Space ◽

Reaction Diffusion ◽

Lanczos Method ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Volume Scheme ◽

Fractional Reaction

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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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A fourth-order accurate, Numerov-type, three-point finite-difference discretization of electrochemical reaction-diffusion equations on nonuniform (exponentially expanding) spatial grids in one-dimensional space geometry

Journal of Computational Chemistry ◽

10.1002/jcc.20075 ◽

2004 ◽

Vol 25 (12) ◽

pp. 1515-1521 ◽

Author(s):

Les?aw K. Bieniasz

Keyword(s):

Finite Difference ◽

Electrochemical Reaction ◽

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Finite Difference Discretization ◽

Spatial Grids ◽

Difference Discretization

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