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
Implicit Finite Difference Method for Time-Space Caputo-Riesz Fractional Diffusion Equation with Fractional Robin Boundary Conditions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.