Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity
type: Item
instance of: scholarly article
title: Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity
zbMATH Open document ID: 1055.65096
DOI: 10.1016/S0898-1221(03)90083-6
publication date: 2004-08-06T00:00:00Z
review text: The author uses a suitable variable transformation to reform some differential equations on the half line, and then fits the solutions of the resulting singular problems on the finite interval by the Jacobi polynomials. Also the numerical solutions with some unusual projections of the genuine solutions are compared, and then error measures in certain Hilbert spaces are presented. The algorithm does not require any quadratures on the half line and keeps the spectral accuracy. Some numerical results are given.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 2082254
zbMATH Keywords: Jacobi spectral method
zbMATH Keywords: Rough asymptotic behaviors
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: algorithm
zbMATH Keywords: numerical results
author: Ben-Yu Guo
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0898-1221(03)90083-6
OpenAlex ID: W2080891315
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082254