A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

作     者：Huasheng Wang Yanping Chen Yunqing Huang Wenting Mao 

作者机构：School of Mathematical ScienceSouth China Normal UniversityGuangzhouGuangdong 520631China School of Mathematics and Computational ScienceXiangtan UniversityXiangtanHunan 411105China 

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

年 卷 期：2020年第12卷第1期

页      面：87-100页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the State Key Program of National Natural Science Foundation of China(No.11931003) National Natural Science Foundation of China(Nos.41974133,11671157 and 11971410) supported by the Innovation Project of Graduate School of South China Normal University(No.2018LKXM008) 

主　　题：Galerkin spectral methods space-time fractional diffusion equations a posteriori error estimates. 

摘      要：In this paper,an initial boundary value problem of the space-time fractional diffusion equation is *** temporal and spatial directions for this equation are discreted by the Galerkin spectral *** then based on the discretization scheme,reliable a posteriori error estimates for the spectral approximation are *** numerical examples are presented to verify the validity and applicability of the derived a posteriori error estimator.