A high-order scheme for time-space fractional diffusion equations with Caputo-Riesz derivatives

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.11.002 ◽

2021 ◽

Vol 104 ◽

pp. 34-43

Author(s):

Golsa Sayyar ◽

Seyed Mohammad Hosseini ◽

Farinaz Mostajeran

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

High Order Scheme ◽

Fractional Diffusion Equations ◽

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A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111127 ◽

2021 ◽

Vol 150 ◽

pp. 111127

Author(s):

Smina Djennadi ◽

Nabil Shawagfeh ◽

Omar Abu Arqub

Keyword(s):

Tikhonov Regularization ◽

Regularization Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Tikhonov Regularization Method ◽

Fractional Diffusion Equations ◽

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Backward problem for time-space fractional diffusion equations in Hilbert scales

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.04.018 ◽

2021 ◽

Vol 93 ◽

pp. 253-264

Author(s):

Dang Duc Trong ◽

Dinh Nguyen Duy Hai

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem ◽

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A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model

SIAM Journal on Scientific Computing ◽

10.1137/18m1172739 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3322-A3343 ◽

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

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A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.011 ◽

2019 ◽

Vol 376 ◽

pp. 1312-1330 ◽

Author(s):

Ruilian Du ◽

Yubin Yan ◽

Zongqi Liang

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Diffusion ◽

Diffusion Wave ◽

High Order Scheme ◽

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A unified difference-spectral method for time–space fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2016.1184262 ◽

2016 ◽

Vol 94 (6) ◽

pp. 1172-1184 ◽

Author(s):

Jianfei Huang ◽

Dandan Yang

Keyword(s):

Spectral Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

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Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations

Pramana ◽

10.1007/s12043-020-01964-3 ◽

2020 ◽

Vol 94 (1) ◽

Author(s):

P Prakash

Keyword(s):

Exact Solutions ◽

Invariant Subspaces ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

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Fast algorithms for high-order numerical methods for space-fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2016.1149579 ◽

2016 ◽

Vol 94 (5) ◽

pp. 1062-1078 ◽

Author(s):

Siu-Long Lei ◽

Yun-Chi Huang

Keyword(s):

Numerical Methods ◽

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/15m102664x ◽

2016 ◽

Vol 38 (5) ◽

pp. A2699-A2724 ◽

Author(s):

Chunwan Lv ◽

Chuanju Xu

Keyword(s):

Error Analysis ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Order Method ◽

High Order Method ◽

Fractional Diffusion Equations

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Finite difference method for time–space linear and nonlinear fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1344231 ◽

2017 ◽

Vol 95 (1) ◽

pp. 202-217 ◽

Author(s):

Sadia Arshad ◽

Weiping Bu ◽

Jianfei Huang ◽

Yifa Tang ◽

Yue Zhao

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Linear And Nonlinear

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A fourth-order scheme for space fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.03.032 ◽

2018 ◽

Vol 373 ◽

pp. 410-424 ◽

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Fourth Order ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

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