针对一维空间分数阶扩散方程的一个新的最大模近似公式

• 作者: 朱琳
• 来源期刊: 高等学校计算数学学报
• 年，卷（期）: 2021,（1）
• 页码范围: 83-96
• 页数: 14页
• 分类号: O241.82
• 语种: 中文

摘要

Based on the maximum principle,the difference formula defined on a non-integral node is given to approximate the fractional Riemann-Liouville derivative and the finite difference scheme for solving one-dimensional space fractional diffusion equations (FDEs) with variable coefficients is presented.Furthermore,using the maximum principle the scheme is proved unconditionally stable and secondorder accuracy in spatial grid size.Several numerical examples are given to verify the efficiency of the scheme.