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

Ming Zhu Li; Li Juan Chen; Qiang Xu; Xiao Hua Ding

doi:10.1186/s13662-018-1883-5

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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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 ◽

Cited By ~ 1

Author(s):

Ömer Oruç

Keyword(s):

Meshless Method ◽

Numerical Solutions ◽

Cable Equation ◽

Two Dimensional ◽

Neuronal Dynamics ◽

Fractional Cable Equation ◽

Hybrid Kernel

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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 ◽

Cited By ~ 27

Author(s):

Bo Yu ◽

Xiaoyun Jiang

Keyword(s):

Fractional Derivatives ◽

Cable Equation ◽

Two Dimensional ◽

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 ◽

Cited By ~ 2

Author(s):

Sachin Kumar ◽

Dumitru Baleanu

Keyword(s):

Numerical Solution ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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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 ◽

High Order ◽

Cable Equation ◽

Two Dimensional ◽

Order Group ◽

Fractional Cable Equation

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The use of local radial point interpolation method for solving two-dimensional linear fractional cable equation

Neural Computing and Applications ◽

10.1007/s00521-016-2595-y ◽

2016 ◽

Vol 29 (10) ◽

pp. 745-754 ◽

Cited By ~ 14

Author(s):

Hadi Roohani Ghehsareh ◽

Ali Zaghian ◽

Sayyed Mahmood Zabetzadeh

Keyword(s):

Interpolation Method ◽

Cable Equation ◽

Two Dimensional ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Fractional Cable Equation

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Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation

Advances in Difference Equations ◽

10.1186/s13662-020-02717-7 ◽

2020 ◽

Vol 2020 (1) ◽

Cited By ~ 1

Author(s):

Fouad Mohammad Salama ◽

Norhashidah Hj. Mohd. Ali ◽

Nur Nadiah Abd Hamid

Keyword(s):

Iterative Methods ◽

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation ◽

Hybrid Group

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Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.10.019 ◽

2014 ◽

Vol 68 (12) ◽

pp. 1710-1722 ◽

Cited By ~ 18

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Xuli Han

Keyword(s):

Collocation Method ◽

Discrete Time ◽

Cable Equation ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation ◽

Fractional Cable Equation

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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 ◽

Cited By ~ 1

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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Correction to: Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

Nonlinear Dynamics ◽

10.1007/s11071-018-4366-z ◽

2018 ◽

Vol 94 (1) ◽

pp. 757-757

Author(s):

M. A. Zaky

Keyword(s):

Numerical Simulation ◽

Variable Order ◽

Cable Equation ◽

Two Dimensional ◽

Dimensional Variable

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