带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法

作     者：唐忠华 房少梅 TANG Zhong-hua;FANG Shao-mei

作者机构：College of Mathematics and InformaticsSouth China Agricultural UniversityGuangzhou 510642China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2024年第39卷第1期

页      面：18-30页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant No.11271141) 

主　　题：Fractional boundary conditions Stability and convergence Caputo-Riesz fractional diffusion equation 

摘      要：In this paper, an efficient numerical method is proposed to solve the Caputo-Riesz fractional diffusion equation with fractional Robin boundary conditions. We approximate the Riesz space fractional derivatives using the fractional central difference scheme with second-order accurate. A priori estimation of the solution of the numerical scheme is given, and the stability and convergence of the numerical scheme are ***, a numerical example is used to verify the accuracy and efficiency of the numerical method.