Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.06.017 ◽

2020 ◽

Vol 80 (6) ◽

pp. 1523-1537 ◽

Author(s):

Rumeng Zheng ◽

Fawang Liu ◽

Xiaoyun Jiang ◽

Ian W. Turner

Keyword(s):

Finite Difference ◽

Spectral Methods ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation ◽

Distributed Order

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Pseudospectral analysis and approximation of two‐dimensional fractional cable equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7362 ◽

2021 ◽

Author(s):

Avinash K. Mittal ◽

Lokendra K. Balyan ◽

Manoj K. Panda ◽

Parnika Shrivastava ◽

Harvindra Singh

Keyword(s):

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22499 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1699-1717 ◽

Author(s):

Ömer Oruç

Keyword(s):

Meshless Method ◽

Numerical Solutions ◽

Cable Equation ◽

Two Dimensional ◽

Neuronal Dynamics ◽

Fractional Cable Equation ◽

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Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation

Journal of Scientific Computing ◽

10.1007/s10915-015-0136-y ◽

2015 ◽

Vol 68 (1) ◽

pp. 252-272 ◽

Author(s):

Bo Yu ◽

Xiaoyun Jiang

Keyword(s):

Fractional Derivatives ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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Finite difference/spectral approximations for the fractional cable equation

Mathematics of Computation ◽

10.1090/s0025-5718-2010-02438-x ◽

2010 ◽

Vol 80 (275) ◽

pp. 1369-1396 ◽

Author(s):

Yumin Lin ◽

Xianjuan Li ◽

Chuanju Xu

Keyword(s):

Finite Difference ◽

Cable Equation ◽

Spectral Approximations ◽

Fractional Cable Equation

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Numerical solution of two‐dimensional time fractional cable equation with Mittag‐Leffler kernel

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6491 ◽

2020 ◽

Vol 43 (15) ◽

pp. 8348-8362 ◽

Author(s):

Sachin Kumar ◽

Dumitru Baleanu

Keyword(s):

Numerical Solution ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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Stability and convergence based on the finite difference method for the nonlinear fractional cable equation on non-uniform staggered grids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.11.013 ◽

2020 ◽

Vol 152 ◽

pp. 403-421 ◽

Author(s):

Xiaoli Li ◽

Hongxing Rui

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Stability And Convergence ◽

Cable Equation ◽

Staggered Grids ◽

The Finite Difference Method ◽

Fractional Cable Equation

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An efficient numerical algorithm for solving the two-dimensional fractional cable equation

Advances in Difference Equations ◽

10.1186/s13662-018-1883-5 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Ming Zhu Li ◽

Li Juan Chen ◽

Qiang Xu ◽

Xiao Hua Ding

Keyword(s):

Numerical Algorithm ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time–space fractional reaction–diffusion equation

Applied Mathematics Letters ◽

10.1016/j.aml.2018.06.005 ◽

2018 ◽

Vol 85 ◽

pp. 157-163 ◽

Author(s):

Shimin Guo ◽

Liquan Mei ◽

Zhengqiang Zhang ◽

Yutao Jiang

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Galerkin Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Two Dimensional ◽

Spectral Galerkin Method ◽

Distributed Order ◽

Fractional Reaction

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The design of new high-order group iterative method in the solution of two-dimensional fractional cable equation

Alexandria Engineering Journal ◽

10.1016/j.aej.2021.01.008 ◽

2021 ◽

Vol 60 (4) ◽

pp. 3553-3563

Author(s):

Muhammad Asim Khan ◽

Norhashidah Hj. Mohd Ali ◽

Nur Nadiah Abd Hamid

Keyword(s):

Iterative Method ◽

Cable Equation ◽

Two Dimensional ◽

Order Group ◽

Fractional Cable Equation

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A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.07.020 ◽

2020 ◽

Vol 158 ◽

pp. 271-291 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Riesz Space ◽

Two Dimensional ◽

Alternating Direction Implicit ◽

Reduced Order ◽

Alternating Direction ◽

Space Fractional Diffusion Equation ◽

Distributed Order

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