Implicit difference approximation for the two-dimensional space-time fractional diffusion equation - Details

author：

Zhuang, P. (Zhuang, P..) ^[1] | Liu, F. (Liu, F..) ^[2]

Indexed by：

Scopus

Abstract：

In　this　paper,　we　consider　a　two-dimensional　fractional　space-time　diffusion　equation　(2DFSTDE)　on　a　finite　domain.　We　examine　an　implicit　difference　approximation　to　solve　the　2DFSTDE.　Stability　and　convergence　of　the　method　are　discussed.　Some　numerical　examples　are　presented　to　show　the　application　of　the　present　technique.　©　2007　Korean　Society　for　Computational　&　Applied　Mathematics.

Keyword：

Convergence; Fractional differential equation; Implicit difference approximation; Space-time; Stability; Two-dimensional problem

Community：

[ 1 ] [Zhuang, P.]Xiamen University
[ 2 ] [Zhuang, P.]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
[ 3 ] [Liu, F.]Xiamen University
[ 4 ] [Liu, F.]Fuzhou University
[ 5 ] [Liu, F.]Trinity College Dublin, University College Dublin
[ 6 ] [Liu, F.]University of Queensland, Queensland University of Technology
[ 7 ] [Liu, F.]Queensland University of Technology
[ 8 ] [Liu, F.]School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia
[ 9 ] [Liu, F.]School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

Reprint 's Address：

[Liu, F.]Queensland University of Technology

Email：

f.liu@qut.edu.au

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Source ：

Journal of Applied Mathematics and Computing

ISSN： 1598-5865

Year： 2007

Issue： 1-2

Volume： 25

Page： 269-282

2 . 4 0 0

JCR@2023

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count： 35

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 1

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