A pseudospectral method for the one-dimensional fractional Laplacian on R

Jorge Cayama, Carlota M. Cuesta and Francisco de la Hoz

Applied Mathematics and Computation, 2021, vol. 389, issue C

Abstract: 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 regular function defined over R, we map the unbounded domain into a finite one, and represent the resulting function as a trigonometric series. Therefore, the central point of this paper is the computation of the fractional Laplacian of an elementary trigonometric function.

Keywords: Fractional Laplacian; Pseudospectral methods; Rational Chebyshev functions; Nonlocal Fisher’s equation; Accelerating fronts (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:389:y:2021:i:c:s0096300320305336

DOI: 10.1016/j.amc.2020.125577

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