A space-time spectral collocation method for the 2-dimensional nonlinear Riesz space fractional diffusion equations

Hui Li; Wei Jiang

doi:10.1002/mma.5124

A space-time spectral collocation method for the 2-dimensional nonlinear Riesz space fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5124 ◽

2018 ◽

Vol 41 (16) ◽

pp. 6130-6144 ◽

Cited By ~ 6

Author(s):

Hui Li ◽

Wei Jiang

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Space Time ◽

Riesz Space ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Fractional Diffusion Equations

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A linearized spectral collocation method for Riesz space fractional nonlinear reaction‐diffusion equations

Computational and Mathematical Methods ◽

10.1002/cmm4.1177 ◽

2021 ◽

Author(s):

Mustafa Almushaira

Keyword(s):

Collocation Method ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Nonlinear Reaction

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.015 ◽

2021 ◽

Vol 160 ◽

pp. 331-348

Author(s):

Jun Liu ◽

Chen Zhu ◽

Yanping Chen ◽

Hongfei Fu

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations ◽

Liouville Space ◽

Quadratic Spline Collocation

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Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01496-5 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Lei Zhang ◽

Guo-Feng Zhang

Keyword(s):

Fast Algorithms ◽

Fractional Diffusion ◽

Space Time ◽

Diffusion Equations ◽

High Dimensional ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Dimensional Variable

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Stability and convergence analysis of the quadratic spline collocation method for time-dependent fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.046 ◽

2019 ◽

Vol 346 ◽

pp. 633-648 ◽

Cited By ~ 1

Author(s):

Jun Liu ◽

Hongfei Fu ◽

Xiaochao Chai ◽

Yanan Sun ◽

Hui Guo

Keyword(s):

Convergence Analysis ◽

Collocation Method ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Stability And Convergence ◽

Spline Collocation ◽

Quadratic Spline ◽

Fractional Diffusion Equations ◽

Quadratic Spline Collocation

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A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

Numerical Algorithms ◽

10.1007/s11075-015-0087-2 ◽

2015 ◽

Vol 73 (1) ◽

pp. 91-113 ◽

Cited By ~ 58

Author(s):

A. H. Bhrawy

Keyword(s):

Collocation Method ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method

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The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0162 ◽

2019 ◽

Vol 11 (4) ◽

pp. 942-956 ◽

Cited By ~ 2

Author(s):

global sci

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Fast Implementation

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Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.016 ◽

2021 ◽

Vol 98 ◽

pp. 24-39

Author(s):

Chen Zhu ◽

Bingyin Zhang ◽

Hongfei Fu ◽

Jun Liu

Keyword(s):

Three Dimensional ◽

Fractional Diffusion ◽

Second Order ◽

Riesz Space ◽

Difference Schemes ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems

Journal of Vibration and Control ◽

10.1177/1077546316636282 ◽

2016 ◽

Vol 22 (9) ◽

pp. 2173-2186 ◽

Cited By ~ 11

Author(s):

K Sayevand ◽

A Yazdani ◽

F Arjang

Keyword(s):

Collocation Method ◽

Dynamic Systems ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations

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Stochastic solution of space-time fractional diffusion equations

Physical Review E ◽

10.1103/physreve.65.041103 ◽

2002 ◽

Vol 65 (4) ◽

Cited By ~ 203

Author(s):

Mark M. Meerschaert ◽

David A. Benson ◽

Hans-Peter Scheffler ◽

Boris Baeumer

Keyword(s):

Fractional Diffusion ◽

Space Time ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Stochastic Solution

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Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation

American Journal of Computational Mathematics ◽

10.4236/ajcm.2018.82010 ◽

2018 ◽

Vol 08 (02) ◽

pp. 121-136

Author(s):

Hasib Uddin Molla ◽

Mushfika Hossain Nova

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Dimensional Space ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spectral Collocation Method ◽

Two Dimensional ◽

Numerical Approximations ◽

Spectral Collocation ◽

Space Fractional Diffusion Equation

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