Effects of nonlinearity on the variational iteration solutions of nonlinear two-point boundary value problems with comparison with respect to finite element analysis
type: Item
instance of: scholarly article
title: Effects of nonlinearity on the variational iteration solutions of nonlinear two-point boundary value problems with comparison with respect to finite element analysis
zbMATH Open document ID: 1151.76030
DOI: 10.1155/2008/857296
author: Mehmettarık Atay
author: Safabozkurt Coşkun
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
full work available at URL: https://eudml.org/doc/54830
review text: Summary: Solution of a nonlinear two-point boundary value problem is studied using variational iteration method (VIM) considering its convergence behavior due to the changing nonlinearity effects in the equation. To achieve this, steady Burger equation is first solved by using finite element method (FEM) with a very fine mesh for the comparison of results obtained from VIM. Effect of the nonlinear term in the equation that is multiplied by a constant is taken into account for five different cases by changing the corresponding constant. Results have shown that VIM is a flexible, easy to apply, and promising method for the analysis of nonlinear two-point boundary value problems with the fact that the larger the effect of the nonlinear term of the equation, the slower the convergence rate when compared to FEM solutions.
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 5372457
zbMATH Keywords: Burger equation
zbMATH Keywords: convergence rate
Wikidata QID: Q58646280
MaRDI profile type: Publication
OpenAlex ID: W2000415287
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description: scientific article; zbMATH DE number 5372457