Accurate spectral algorithm for two‐dimensional variable‐order fractional percolation equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7195 ◽

2021 ◽

Author(s):

Mohamed A. Abdelkawy ◽

Emad E. Mahmoud ◽

Kholod M. Abualnaja ◽

Abdel‐Haleem Abdel‐Aty ◽

Sunil Kumar

Keyword(s):

Variable Order ◽

Two Dimensional ◽

Spectral Algorithm ◽

Dimensional Variable

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An efficient meshless method based on the Moving Kriging interpolation for two-dimensional variable-order time-fractional mobile/immobile advection-diffusion model

Authorea ◽

10.22541/au.158540735.59094315 ◽

2020 ◽

Author(s):

Esmail Hesameddini ◽

Ali Habibirad ◽

Mohammad Hossein Heydari ◽

Reza Roohi

Keyword(s):

Diffusion Model ◽

Meshless Method ◽

Kriging Interpolation ◽

Variable Order ◽

Two Dimensional ◽

Moving Kriging Interpolation ◽

Advection Diffusion ◽

Dimensional Variable

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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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Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh–Stokes problem

Computational and Applied Mathematics ◽

10.1007/s40314-018-0631-5 ◽

2018 ◽

Vol 37 (4) ◽

pp. 5274-5292 ◽

Cited By ~ 6

Author(s):

Farideh Salehi ◽

Habibollah Saeedi ◽

Mohseni Moghadam Moghadam

Keyword(s):

Numerical Solution ◽

Stokes Problem ◽

Variable Order ◽

Two Dimensional ◽

Hahn Polynomials ◽

Dimensional Variable

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An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6759 ◽

2020 ◽

Author(s):

Ali Habibirad ◽

Esmail Hesameddini ◽

Mohammad Hossein Heydari ◽

Reza Roohi

Keyword(s):

Diffusion Model ◽

Meshless Method ◽

Kriging Interpolation ◽

Variable Order ◽

Two Dimensional ◽

Moving Kriging Interpolation ◽

Advection Diffusion ◽

Dimensional Variable

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A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.12.043 ◽

2019 ◽

Vol 384 ◽

pp. 222-238 ◽

Cited By ~ 5

Author(s):

Jianming Liu ◽

Xinkai Li ◽

Xiuling Hu

Keyword(s):

Diffusion Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Variable Order ◽

Two Dimensional ◽

Quadrature Method ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Dimensional Variable

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

Nonlinear Dynamics ◽

10.1007/s11071-014-1854-7 ◽

2014 ◽

Vol 80 (1-2) ◽

pp. 101-116 ◽

Cited By ~ 131

Author(s):

A. H. Bhrawy ◽

M. A. Zaky

Keyword(s):

Numerical Simulation ◽

Variable Order ◽

Cable Equation ◽

Two Dimensional ◽

Dimensional Variable

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Numerical Solution of Two-Dimensional Variable-Order Fractional Optimal Control Problem by Generalized Polynomial Basis

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1389-z ◽

2018 ◽

Vol 180 (2) ◽

pp. 536-555 ◽

Cited By ~ 13

Author(s):

Fakhrodin Mohammadi ◽

Hossein Hassani

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Solution ◽

Variable Order ◽

Two Dimensional ◽

Fractional Optimal Control Problem ◽

Fractional Optimal Control ◽

Generalized Polynomial ◽

Dimensional Variable

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Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 ◽

10.1109/icfda.2014.6967430 ◽

2014 ◽

Author(s):

Fawang Liu ◽

Pinghui Zhuang ◽

Ian Turner ◽

Vo Anh ◽

Kevin Burrage

Keyword(s):

Diffusion Model ◽

Reaction Diffusion ◽

Variable Order ◽

Two Dimensional ◽

Numerical Treatment ◽

Nonlinear Reaction ◽

Reaction Diffusion Model ◽

Dimensional Variable

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Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation

Mathematics of Computation ◽

10.1090/s0025-5718-2011-02447-6 ◽

2012 ◽

Vol 81 (277) ◽

pp. 345-366 ◽

Cited By ~ 62

Author(s):

Chang-Ming Chen ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Numerical Methods ◽

Variable Order ◽

Two Dimensional ◽

Subdiffusion Equation ◽

Dimensional Variable

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Numerical methods for solving a two-dimensional variable-order modified diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.08.064 ◽

2013 ◽

Vol 225 ◽

pp. 62-78 ◽

Cited By ~ 6

Author(s):

Chang-Ming Chen

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Variable Order ◽

Two Dimensional ◽

Dimensional Variable

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