A spectral collocation method for solving initial value problems of first order ordinary differential equations
type: Item
instance of: scholarly article
title: A spectral collocation method for solving initial value problems of first order ordinary differential equations
zbMATH Open document ID: 1205.65225
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2010-12-16T00:00:00Z
review text: The authors study a spectral collocation method for solving initial value problems of first order ordinary differential equations. They derive this new numerical process by approximating the exact solution directly by the Legendre-Gauss-Lobatto interpolation with \(N+1\) nodes. Later error estimates and a multistep version of the collocation method are presented. Finally the authors present some numerical results and compare the proposed new methods with several commonly used methods.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 5827359
zbMATH Keywords: initial value problems
zbMATH Keywords: spectral collocation method
zbMATH Keywords: first order
zbMATH Keywords: Legendre-Gauss-Lobatto interpolation
zbMATH Keywords: error estimates
zbMATH Keywords: numerical results
author: Ben-Yu Guo
author: Zhong-Qing Wang
MaRDI profile type: Publication
full work available at URL: dcdsb.2010.14.1029
OpenAlex ID: W1978021397
DOI: 10.3934/DCDSB.2010.14.1029
description: scientific article; zbMATH DE number 5827359