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