A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.06.013 ◽

2021 ◽

Author(s):

Haiyu Liu ◽

Shujuan Lü

Keyword(s):

Numerical Scheme ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Initial Singularity ◽

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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A high-order compact difference method on fitted meshes for Neumann problems of time-fractional reaction–diffusion equations with variable coefficients

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.10.014 ◽

2021 ◽

Vol 181 ◽

pp. 598-623

Author(s):

Yuan-Ming Wang

Keyword(s):

Difference Method ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Neumann Problems ◽

Compact Difference ◽

Compact Difference 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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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 High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces

Journal of Scientific Computing ◽

10.1007/s10915-013-9688-x ◽

2013 ◽

Vol 56 (3) ◽

pp. 535-565 ◽

Author(s):

Edward J. Fuselier ◽

Grady B. Wright

Keyword(s):

Kernel Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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