Caputo导数的一个新的高阶离散方法
A new high order discretization method for Caputo derivative
杨爽 1周晗1
作者信息
- 1. 河北工业大学 理学院,天津 300401
- 折叠
摘要
对分数阶测试方程提出了一个新的离散格式.该格式是基于L1-2方法以及BDF3方法建立的,使得对奇异的源项f能达到3-α阶.本文详细地进行了误差分析,给出相应的数值例子计算该格式的误差并验证收敛阶.
Abstract
A new discrete scheme for the fractional order test equation is proposed.The scheme is developed based on L1-2 and BDF3 methods,so that the 3-α order is obtained for the singular source term f.Error analysis is carried out in detail.Finally,a corresponding numerical example is provided to calculate the error of the scheme and to verify the con-vergence order.
关键词
分数阶测试方程/Caputo分数阶导数/L1-2方法/BDF3方法/收敛阶Key words
fractional test equation/Caputo fractional derivative/L1-2 method/BDF3 method/convergence order引用本文复制引用
出版年
2024
NETL
NSTL
万方数据