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
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	59 期号:1 页码:1-33
摘要	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.
关键词	Matrix splitting Iteration method Convergence property Spatial fractional diffusion equation
DOI	10.1007/s10543-018-0727-8
语种	英语
资助项目	National Natural Science Foundation[11671393]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000460614200001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/33346
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	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
推荐引用方式 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.