Numerical approximation of the fractional Laplacian on R using orthogonal families

In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the F12 Gaussian hypergeometric function, the one-dimensional fractional Laplacian of the complex Higgins functions, the complex Christov functions, and their sine-like and cosine-like versions. Then, aft...

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Bibliographic Details

Published in:	Applied numerical mathematics Vol. 158; pp. 164 - 193
Main Authors:	Cayama, Jorge, Cuesta, Carlota M., de la Hoz, Francisco
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.12.2020
Subjects:	Arbitrary-precision arithmetic Condition numbers Differentiation matrices Fractional Laplacian Fractional nonlinear Schrödinger equation Pseudospectral methods Fractional nonlinear Schrödinger equation Pseudospectral methods Fractional Laplacian Differentiation matrices Condition numbers Arbitrary-precision arithmetic
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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