2 papers
math.NA2020
Numerical Approximation of the Fractional Laplacian on Using Orthogonal Families
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz
In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the Gaussian hypergeometric function, the one-dimensional fractional Lapla…
math.NA2019
A Pseudospectral Method for the One-Dimensional Fractional Laplacian on
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz
In this paper, we propose a novel pseudospectral method to approximate accurately and efficiently the fractional Laplacian without using truncation. More precisely, given a bounded…