On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations

doi:10.1007/s10543-018-0727-8

	On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations
	Bai, Zhong-Zhi1,2 ; Lu, Kang-Ya 1,2
	2019-03-01
Source Publication	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
Volume	59 Issue:1 Pages:1-33
Abstract	For solving time-dependent one-dimensional spatial-fractional diffusion equations of variable coefficients, we establish a banded M-splitting iteration method applicable to compute approximate solutions for the corresponding discrete linear systems resulting from certain finite difference schemes at every temporal level, and demonstrate its asymptotic convergence without imposing any extra condition. Also, we provide a multistep variant for the banded M-splitting iteration method, and prove that the computed solutions of the discrete linear systems by employing this iteration method converge to the exact solutions of the spatial fractional diffusion equations. Numerical experiments show the accuracy and efficiency of the multistep banded M-splitting iteration method.
Keyword	Matrix splitting Iteration method Convergence property Spatial fractional diffusion equation
DOI	10.1007/s10543-018-0727-8
Language	英语
Funding Project	National Natural Science Foundation[11671393]
WOS Research Area	Computer Science ; Mathematics
WOS Subject	Computer Science, Software Engineering ; Mathematics, Applied
WOS ID	WOS:000460614200001
Publisher	SPRINGER
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/33346
Collection	计算数学与科学工程计算研究所
Corresponding Author	Bai, Zhong-Zhi
Affiliation	1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation GB/T 7714	Bai, Zhong-Zhi,Lu, Kang-Ya. On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations[J]. BIT NUMERICAL MATHEMATICS,2019,59(1):1-33.
APA	Bai, Zhong-Zhi,&Lu, Kang-Ya.(2019).On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations.BIT NUMERICAL MATHEMATICS,59(1),1-33.
MLA	Bai, Zhong-Zhi,et al."On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations".BIT NUMERICAL MATHEMATICS 59.1(2019):1-33.

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