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

文献类型：期刊论文

作者Bai, Zhong-Zhi1,2; Lu, Kang-Ya1,2
刊名BIT NUMERICAL MATHEMATICS
出版日期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
DOI10.1007/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
WOS记录号WOS:000460614200001
出版者SPRINGER
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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