Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation

• 作者: Hengfei Ding Yuxin Zhang
• 来源期刊: 应用数学与计算数学学报(英文)
• 学科: 数学
• 关键词: Caputo DERIVATIVE RIESZ DERIVATIVE FRACTIONAL DIFFUSION equation
• 年，卷（期）: 2020,（1）
• 页码范围: 57-72
• 页数: 16页
• 分类号: O17

摘要

In this paper,we develop a novel fi nite-diff erence scheme for the time-Caputo and space-Riesz fractional diff usion equation with convergence order O(τ^2?α+h^2).The stability and convergence of the scheme are analyzed by mathematical induction.Moreover,some numerical results are provided to verify the eff ectiveness of the developed diff erence scheme.