Numerical simulation of time fractional Cable equations and convergence analysis
Numerical simulation of time fractional Cable equations and convergence analysis
复制标题
DOI：
10.1002/num.22225
复制
发表时间：
2018-09
影响因子：
3.9
通讯作者：
Y. Yang;Yunqing Huang;Yong Zhou
中科院分区：
文献类型：
--
作者：
Y. Yang;Yunqing Huang;Yong Zhou
本文考虑时间分数阶Cable方程的数值解.将时间分数阶Cable方程转化为等价的奇异核积分方程，提出了一种基于拉格朗日插值多项式谱展开的时间和空间离散的谱采集方法.该方法的收敛性是严格建立的。数值试验证实了理论结果。
In this article, the numerical solution of time fractional Cable equation is considered. We convert the time fractional Cable equations into equivalent integral equations with singular kernel, then propose a spectral collection method in both time and space discretizations with a spectral expansion of Lagrange interpolation polynomial for this equation. The convergence of the method is rigorously established. Numerical tests are carried out to confirm the theoretical results.