Analysis of IVPs and BVPs on semi-infinite domains via collocation methods
type: Item
instance of: scholarly article
title: Analysis of IVPs and BVPs on semi-infinite domains via collocation methods
zbMATH Open document ID: 1244.76067
DOI: 10.1155/2012/696574
author: Mohammad Maleki
author: I. Hashim
author: Saeid Abbasbandy
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems. A smooth, strictly monotonic transformation is used to map the semi-infinite domain \(x \in [0, \infty)\) onto a half-open interval \(t \in [-1, 1)\). The resulting finite-domain two-point boundary value problem is transcribed to a system of algebraic equations using Chebyshev-Gauss (CG) collocation, while the resulting initial value problem over a finite domain is transcribed to a system of algebraic equations using Chebyshev-Gauss-Radau (CGR) collocation. In numerical experiments, the tuning of the map \(\phi : [-1, +1) \rightarrow [0, +\infty)\) and its effects on the quality of the discrete approximation are analyzed.
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6063457
Wikidata QID: Q58907180
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/696574
OpenAlex ID: W2052284943
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DBLP publication ID: journals/jam/MalekiHA12
description: scientific article; zbMATH DE number 6063457