Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

作     者：Shuiping Yang Yubin Liu Hongyu Liu Chao Wang 

作者机构：School of Mathematics and Big Data ScienceHuizhou UniversityHuizhouGuangdong 516007China Department of MathematicsCity University of Hong KongKowloonHong Kong Department of MathematicsSouthern University of Science and TechnologyShenzhenGuangdong 518055China Guangdong Provincial Key Laboratory of Computational Science and Material DesignSouthern University of Science and TechnologyShenzhenGuangdong 518055China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2022年第14卷第1期

页      面：56-78页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation(NSF)of China(Grant No.11501238) NSF of Guangdong Province(Grant No.2016A030313119)and NSF of Huizhou University(Grant No.hzu201806) supported by the startup fund from City University of Hong Kong and the Hong Kong RGC General Research Fund(projects Nos.12301420,12302919 and 12301218) supported by the NSF of China No.11971221 the Shenzhen Sci-Tech Fund No.JCYJ20190809150413261,JCYJ20180307151603959,and JCYJ20170818153840322,and Guangdong Provincial Key Laboratory of Computational Science and Material Design(No.2019B030301001) 

主　　题：Semilinear Riesz space fractional diffusion equations with time delay implicit alternating direction method stability and convergence 

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 *** develop a novel implicit alternating direction method that can effectively and efficiently tackle the RSFDEs in both two and three *** numerical method is proved to be uniquely solvable,stable and convergent with second order accuracy in both space and *** results are presented to verify the accuracy and efficiency of the proposed numerical scheme.