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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.
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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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