A DIRECT DISCONTINUOUS GALERKIN METHOD FOR TIME FRACTIONAL DIFFUSION EQUATIONS WITH FRACTIONAL DYNAMIC BOUNDARY CONDITIONS

作     者：Jingjun Zhao Wenjiao Zhao Yang Xu Jingjun Zhao;Wenjiao Zhao;Yang Xu

作者机构：School of MathematicsHarbin Institute of TechnologyHarbin 150001China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2024年第42卷第1期

页      面：156-177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 National Natural Science Foundation of China(Grant Nos.11771112,12071100) by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060019) 

主　　题：Time fractional diffusion equation Numerical stability Convergence 

摘      要：This paper deals with the numerical approximation for the time fractional diffusion problem with fractional dynamic boundary *** well-posedness for the weak solutions is studied.A direct discontinuous Galerkin approach is used in spatial direction under the uniform meshes,together with a second-order Alikhanov scheme is utilized in temporal direction on the graded mesh,and then the fully discrete scheme is ***,the stability and the error estimate for the full scheme are analyzed in *** experiments are also given to illustrate the effectiveness of the proposed method.