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

doi:10.1007/s10543-018-0727-8

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations
	Bai, Zhong-Zhi1,2 ; Lu, Kang-Ya 1,2
刊名	BIT NUMERICAL MATHEMATICS
	2019-03-01
卷号	59 期号:1 页码:1-33
关键词	Matrix splitting Iteration method Convergence property Spatial fractional diffusion equation
ISSN号	0006-3835
DOI	10.1007/s10543-018-0727-8
英文摘要	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.
资助项目	National Natural Science Foundation[11671393]
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000460614200001
内容类型	期刊论文
源URL	[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.