Numerical approximation of Lévy-Feller fractional diffusion equation via Chebyshev-Legendre collocation method

The European Physical Journal Plus ◽

10.1140/epjp/i2016-16251-y ◽

2016 ◽

Vol 131 (8) ◽

Author(s):

N. H. Sweilam ◽

M. M. Abou Hasan

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Numerical Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Legendre Collocation Method

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On a Modification of the Legendre Collocation Method for Solving Fractional Diffusion Equation

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2016.5446 ◽

2016 ◽

Vol 13 (8) ◽

pp. 5513-5518

Author(s):

H Jaleb ◽

H Adibi

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Legendre Collocation Method

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An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

SIAM Journal on Numerical Analysis ◽

10.1137/20m132420x ◽

2020 ◽

Vol 58 (5) ◽

pp. 2492-2514

Author(s):

Xiangcheng Zheng ◽

Hong Wang

Keyword(s):

Diffusion Equation ◽

Error Estimate ◽

Numerical Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variable Order ◽

Time Fractional Diffusion Equation

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Numerical Approximation for Fractional Diffusion Equation Forced by a Tempered Fractional Gaussian Noise

Journal of Scientific Computing ◽

10.1007/s10915-020-01271-4 ◽

2020 ◽

Vol 84 (1) ◽

Author(s):

Xing Liu ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Gaussian Noise ◽

Numerical Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Fractional Gaussian Noise

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A second-order accurate numerical approximation for the fractional diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2005.08.008 ◽

2006 ◽

Vol 213 (1) ◽

pp. 205-213 ◽

Author(s):

Charles Tadjeran ◽

Mark M. Meerschaert ◽

Hans-Peter Scheffler

Keyword(s):

Diffusion Equation ◽

Numerical Approximation ◽

Fractional Diffusion ◽

Second Order ◽

Fractional Diffusion Equation

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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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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation

International Journal of Analysis and Applications ◽

10.28924/2291-8639-16-2018-822 ◽

2018 ◽

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Modified Method

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A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.10.016 ◽

2021 ◽

Vol 182 ◽

pp. 1-24

Author(s):

Wei-Hua Luo ◽

Xian-Ming Gu ◽

Liu Yang ◽

Jing Meng

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Quadratic Spline

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Numerical approximation of tempered fractional Sturm‐Liouville problem with application in fractional diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4901 ◽

2020 ◽

Author(s):

Swati Yadav ◽

Rajesh K. Pandey ◽

Prashant K. Pandey

Keyword(s):

Diffusion Equation ◽

Numerical Approximation ◽

Liouville Problem ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Sturm Liouville

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Solving the time-fractional diffusion equation via Sinc–Haar collocation method

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.12.110 ◽

2015 ◽

Vol 257 ◽

pp. 317-326 ◽

Author(s):

A. Pirkhedri ◽

H.H.S. Javadi

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22253 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1209-1223 ◽

Author(s):

Song Wei ◽

Wen Chen ◽

Yong Zhang ◽

Hui Wei ◽

Rhiannon M. Garrard

Keyword(s):

Diffusion Equation ◽

Radial Basis Function ◽

Collocation Method ◽

Basis Function ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variable Order ◽

Two Dimensional ◽

Irregular Domain ◽

Time Fractional Diffusion Equation

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