A finite point method for the fractional cable equation using meshless smoothed gradients
A finite point method for the fractional cable equation using meshless smoothed gradients
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DOI：
10.1016/j.enganabound.2021.10.018
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发表时间：
2021-11-10
影响因子：
3.3
通讯作者：
Li, Shuling
中科院分区：
文献类型：
--
作者：
Li, Xiaolin;Li, Shuling
This paper presents a meshless finite point method (FPM) for the numerical analysis of the fractional cable equation. A second-order time discrete scheme is proposed to approximate both integer-order and fractional-order time derivatives. Then, based on the stabilized moving least squares approximation and the meshless smoothed gradients, a new implementation of the FPM is provided to enhance the accuracy and convergence rate in space. Theoretical error of the FPM is analyzed. Numerical results verify the efficiency of the method and show that the method can gain second-order accuracy in time and fourth-order accuracy in space.
