| 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 |
| |
| 引用本文： | 朱琳.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[J].高等学校计算数学学报,2021,43(1):83-96. |
| |
| 作者姓名： | 朱琳 |
| |
| 作者单位： | 宁夏大学数学统计学院,银川750021 |
| |
| 基金项目： | Supported in part by an NSF of Ningxia research grant(No.2020AAC03069). |
| |
| 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.
|
| 关 键 词： | the difference formula the fractional Riemann-Liouville derivative fractional diffusion equation unconditionally stable the maximum principle |
A NEW MAXIMUM PRINCIPLE ESTIMATE FOR ONE DIMENSIONAL SPACE FRACTIONAL DIFFUSION EQUATION |
| |
| Zhu Lin.A NEW MAXIMUM PRINCIPLE ESTIMATE FOR ONE DIMENSIONAL SPACE FRACTIONAL DIFFUSION EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2021,43(1):83-96. |
| |
| Authors: | Zhu Lin |
| |
| Institution: | (Ningxia University,School of Mathematics and Statistics,Yinchuan 750021) |
| |
| Abstract: | |
| |
| Keywords: | |
| 本文献已被 维普 万方数据 等数据库收录！ |
