Caputo-Katugampola时间分数阶扩散方程的数值求解方法
Numerical Solution Method for Caputo-Katugampola Time-Fractional Diffusion Equation
摘要: 本文研究带Caputo-Katugampola分数导数时间分数阶扩散方程的数值解法: 使用中心差分格 式离散空间扩散顶，采用L1差分格式离散时间分数阶导数。 实验结果表明该方法在空间和时间上 的收敛速度分别为2阶和2 − α阶。
Abstract: We study a numerical solution of the time-fractional diffusion equation with Caputo- Katugampola fractional derivative. We discretize the spatial diffusion term using central-difference and the time-fractional derivative using L1 difference scheme. The numerical test shows that the convergence rate of the method is 2th order in space and (2 − α)th order in time, respectively.
文章引用：张洁晶. Caputo-Katugampola时间分数阶扩散方程的数值求解方法[J]. 应用数学进展, 2024, 13(2): 744-749. https://doi.org/10.12677/AAM.2024.132073

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