2 papers
math.NA2024
Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian
Zhaopeng Hao, Zhiqiang Cai, Zhongqiang Zhang
We study the numerical evaluation of the integral fractional Laplacian and its application in solving fractional diffusion equations. We derive a pseudo-spectral formula for the in…
math.NA2024
A simple and fast finite difference method for the integral fractional Laplacian of variable order
Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang +1
For the fractional Laplacian of variable order, an efficient and accurate numerical evaluation in multi-dimension is a challenge for the nature of a singular integral. We propose a…