Sinc-Galerkin method for solving nonlinear boundary-value problems
type: Item
instance of: scholarly article
title: Sinc-Galerkin method for solving nonlinear boundary-value problems
zbMATH Open document ID: 1072.65111
publication date: 2005-05-12T00:00:00Z
review text: This paper deals with nonlinear ordinary differential equations of \(2m\)th-order \((m= 1,2,3)\), \[ u^{(2m)}+ r(x) uu'+ k(x) H(u)= f(x),\quad 0\leq x\leq 1, \] subject to the boundary conditions \(u^{(j)}(0)= 0\), \(u^{(j)}(1)= 0\), \(0\leq j\leq m-1\), where \(H(u)\) may be a polynomial or a rational function, or exponential. The authors illustrate how the sinc-Galerkin method may be used to replace our equation by an explicit system of nonlinear algebraic equations that is solved by Newton's method. Four numerical examples are presented.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2167471
zbMATH Keywords: sinc-Galerkin method
zbMATH Keywords: sinc function
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: Newton's method
zbMATH Keywords: numerical examples
author: Mohamed El-Gamel
author: Ahmed I. Zayed
describes a project that uses: KELLEY
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.10.021
OpenAlex ID: W2096408112
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DOI: 10.1016/J.CAMWA.2004.10.021
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2167471