Numerical simulation of time fractional Cable equations and convergence analysis

作者：Yang, Yin; Huang, Yunqing; Zhou, Yong^*

来源：Numerical Methods for Partial Differential Equations, 2018, 34(5): 1556-1576.

DOI：10.1002/num.22225

• convergence analysis
• Jacobi collocation method
• time fractional Cable equation

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.

• 出版日期2018-9
• 单位湘潭大学