南方科技大学知识苑(SUSTech KC): Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

题名	Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay
作者	Yang, Shuiping 1; Liu, Yubin 1; Liu, Hongyu 2; Wang, Chao3,4
通讯作者	Liu, Hongyu; Wang, Chao
发表日期	2021-02-01
DOI	10.4208/aamm.OA-2020-0387
发表期刊	Advances in Applied Mathematics and Mechanics 影响因子和分区
ISSN	2070-0733
EISSN	2075-1354
摘要	In this paper, we consider the numerical solutions of the semilinear Riesz space-fractional diffusion equations (RSFDEs) with time delay, which constitute an important class of differential equations of practical significance. We develop a novel implicit alternating direction method that can effectively and efficiently tackle the RSFDEs in both two and three dimensions. The numerical method is proved to be uniquely solvable, stable and convergent with second order accuracy in both space and time. Numerical results are presented to verify the accuracy and efficiency of the proposed numerical scheme.
关键词	Semilinear Riesz space fractional diffusion equations with time delay implicit alter-nating direction method stability and convergence
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	National Natural Science Foundation (NSF) of China[11501238] ; NSF of Guangdong Province[2016A030313119] ; NSF of Huizhou University[hzu201806] ; Hong Kong RGC General Research Fund[12301420,12302919,12301218] ; NSF of China[11971221] ; Shenzhen Sci-Tech Fund["JCYJ20190809150413261","JCYJ201803071516 03959","JCYJ20170818153840322"] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000712987100001
出版者	GLOBAL SCIENCE PRESS
来源库	Web of Science
引用统计	被引频次[WOS]：8
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/255308
专题	理学院_数学系
作者单位	1.Huizhou Univ, Sch Math & Big Data Sci, Huizhou 516007, Guangdong, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China 4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Guangdong, Peoples R China
通讯作者单位	数学系; 南方科技大学
推荐引用方式 GB/T 7714	Yang, Shuiping,Liu, Yubin,Liu, Hongyu,et al. Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay[J]. Advances in Applied Mathematics and Mechanics,2021.
APA	Yang, Shuiping,Liu, Yubin,Liu, Hongyu,&Wang, Chao.(2021).Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay.Advances in Applied Mathematics and Mechanics.
MLA	Yang, Shuiping,et al."Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay".Advances in Applied Mathematics and Mechanics (2021).