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Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations

文献类型：期刊论文

作者Huang, Jianfei2; Arshad, Sadia3; Jiao, Yandong4; Tang, Yifa1,5
刊名EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
出版日期2019-08-01
卷号9期号:3页码:538-557
关键词Fractional diffusion-wave equation nonlinear source convolution quadrature generating function stability and convergence
ISSN号2079-7362
DOI10.4208/eajam.230718.131018
英文摘要Two second-order convolution quadrature methods for fractional nonlinear diffusion-wave equations with Caputo derivative in time and Riesz derivative in space are constructed. To improve the numerical stability, the fractional diffusion-wave equations are firstly transformed into equivalent partial integro-differential equations. Then, a second-order convolution quadrature is applied to approximate the Riemann-Liouville integral. This deduced convolution quadrature method can handle solutions with low regularity in time. In addition, another second-order convolution quadrature method based on a new second-order approximation for discretising the Riemann-Liouville integral at time t(k-1/2) is constructed. This method reduces computational complexity if Crank-Nicolson technique is used. The stability and convergence of the methods are rigorously proved. Numerical experiments support the theoretical results.
资助项目National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11771438]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000470088100008
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34851]  
专题计算数学与科学工程计算研究所
通讯作者Jiao, Yandong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
3.COMSATS Inst Informat Technol, Lahore, Pakistan
4.Hebei Univ Technol, Sch Sci, Tianjin 300401, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Huang, Jianfei,Arshad, Sadia,Jiao, Yandong,et al. Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2019,9(3):538-557.
APA Huang, Jianfei,Arshad, Sadia,Jiao, Yandong,&Tang, Yifa.(2019).Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,9(3),538-557.
MLA Huang, Jianfei,et al."Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 9.3(2019):538-557.

入库方式： OAI收割

来源：数学与系统科学研究院

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