Numerical approximation of the fractional Laplacian on \(\mathbb{R}\) using orthogonal families

DOI10.1016/j.apnum.2020.07.024OpenAlexW3048349962MaRDI QIDQ2202427

Francisco de la Hoz, Jorge Cayama, C. M. Cuesta

Publication date: 18 September 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08825

zbMATH Keywords

pseudospectral methodscondition numbersfractional Laplacianfractional nonlinear Schrödinger equationdifferentiation matricesarbitrary-precision arithmetic

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX) Special functions (33-XX)

Uses Software

• Mathematica
• Matlab
• FFTW
• advanpix

Cites Work

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