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author:

Yang, Shuiping (Yang, Shuiping.) [1] | Liu, Fawang (Liu, Fawang.) [2] | Feng, Libo (Feng, Libo.) [3] | Turner, Ian W. (Turner, Ian W..) [4]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, a second order accurate time and space difference method is proposed to solve the nonlinear two-sided space-fractional diffusion equation with variable coefficients. We combine the alternating direction implicit method and Bi-conjugate gradient stabilized iterative solver to develop an efficient numerical method for a two dimensional, nonlinear, two-sided space-fractional diffusion equation with variable coefficients. Furthermore, the proposed method is proved to be uniquely solvable, stable and convergent. Finally, some numerical results verify the accuracy and efficiency of our computational approach. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.

Keyword:

Alternating direction implicit method Bi-conjugate gradient stabilized method Space-fractional diffusion equation with variable coefficients Stability and convergence

Community:

  • [ 1 ] [Yang, Shuiping]Huizhou Univ, Sch Math & Big Data Sci, Huizhou 516007, Guangdong, Peoples R China
  • [ 2 ] [Liu, Fawang]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
  • [ 3 ] [Feng, Libo]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
  • [ 4 ] [Turner, Ian W.]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
  • [ 5 ] [Liu, Fawang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 6 ] [Turner, Ian W.]Queensland Univ Technol QUT, Ctr Excellence Math & Stat Frontiers ACEMS, Australian Res Council, Brisbane, Qld, Australia

Reprint 's Address:

  • 刘发旺

    [Liu, Fawang]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia

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Source :

APPLIED NUMERICAL MATHEMATICS

ISSN: 0168-9274

Year: 2020

Volume: 157

Page: 55-68

2 . 4 6 8

JCR@2020

2 . 2 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:50

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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