Collocation-continuation technique for solving nonlinear ordinary boundary value problems
type: Item
instance of: scholarly article
title: Collocation-continuation technique for solving nonlinear ordinary boundary value problems
zbMATH Open document ID: 0940.65078
DOI: 10.1016/S0898-1221(99)00121-2
author: Muhammed Syam
author: S. M. Al-Sharo'
publication date: 2000-01-20T00:00:00Z
review text: The authors report a method, an algorithm and illustrate numerical examples to solve a Dirichlet boundary value problem for a particular second-order nonlinear ordinary differential equation. The discretization of the problem is done by the Legendre collocation method resulting in a system of nonlinear algebraic equations. The latter is then solved by a continuation method, which does not require an initial approximation.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1391569
zbMATH Keywords: two-point Dirichlet boundary value problems
zbMATH Keywords: second-order nonlinear ordinary differential equations
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
zbMATH Keywords: Legendre collocation method
zbMATH Keywords: continuation method
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
cites work: Q4339423
cites work: Q3776818
cites work: Q3998344
cites work: The modified trapezoidal rule for line integrals
full work available at URL: s0898-1221(99)00121-2
OpenAlex ID: W2063485606
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391569