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带非线性源项的双侧空间分数阶扩散方程的隐式中点方法

本站小编 Free考研考试/2021-12-27

胡冬冬, 曹学年, 蒋慧灵
湘潭大学数学与计算科学学院, 湘潭 411105
收稿日期:2017-12-14出版日期:2019-09-15发布日期:2019-08-21




THE IMPLICIT MIDPOINT METHOD FOR TWO-SIDE SPACE FRACTIONAL DIFFUSION EQUATION WITH A NONLINEAR SOURCE TERM

Hu Dongdong, Cao Xuenian, Jiang Huiling
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Received:2017-12-14Online:2019-09-15Published:2019-08-21







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本文用隐式中点方法离散一阶时间偏导数,并用拟紧差分算子逼近Riemann-Liouville空间分数阶偏导数,构造了求解带非线性源项的空间分数阶扩散方程的数值格式.给出了数值方法的稳定性和收敛性分析.数值试验表明数值方法是有效的.
MR(2010)主题分类:
26A33
34A08
65M06
65M12

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