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Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis
Joint Authors
Atay, Mehmet Tarık
Coşkun, Safa Bozkurt
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-03-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Atay, Mehmet Tarık& Coşkun, Safa Bozkurt. 2008. Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-503808
Modern Language Association (MLA)
Atay, Mehmet Tarık& Coşkun, Safa Bozkurt. Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis. Mathematical Problems in Engineering No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-503808
American Medical Association (AMA)
Atay, Mehmet Tarık& Coşkun, Safa Bozkurt. Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-503808
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503808