A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients-Reference-Cited by-同舟云学术

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A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients

Published:2020-10-26 Issue:2 Volume:37 Page:1136-1162
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Gu Xian‐Ming¹²^ORCID,Huang Ting‐Zhu³,Zhao Yong‐Liang³,Lyu Pin¹,Carpentieri Bruno⁴

Affiliation:

1. School of Economic Mathematics/Institute of Mathematics, Southwestern University of Finance and Economics Chengdu Sichuan China

2. Bernoulli Institute of Mathematics, Computer Science and Artificial Intelligence, University of Groningen AK Groningen The Netherlands

3. School of Mathematical Sciences University of Electronic Science and Technology of China Chengdu Sichuan China

4. Facoltà di Scienze e Tecnologie informatiche Libera Università di Bolzano Italy Bozen‐Bolzano

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22571

Reference62 articles.

1. A time‐fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions;Alikhanov A. A.;Comput. Methods Appl. Math.,2017

2. High Order Algorithm for the Time-Tempered Fractional Feynman–Kac Equation

3. Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

4. Boundary Problems for the Fractional and Tempered Fractional Operators

5. High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion

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