An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics

An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics

Variational iteration method (VIM) is applied to solve linear and nonlinear boundary value problems with particular significance in structural engineering and fluid mechanics. These problems are used as mathematical models in viscoelastic and inelastic flows, deformation of beams, and plate deflecti...

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Main Authors: A. Barari, M. Omidvar, D. D. Ganji, Abbas Tahmasebi Poor
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2008/394103
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spelling doaj-2ca6ac832e8d4544aef4d5e2f307f0d22020-11-25T00:16:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472008-01-01200810.1155/2008/394103394103An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid MechanicsA. Barari0M. Omidvar1D. D. Ganji2Abbas Tahmasebi Poor3Departments of Civil Engineering and Mechanical Engineering, Mazandaran University of Technology, P.O. Box 484, Babol, IranTechnical and Engineering Faculty, Gorgan University of Agricultural Sciences and Natural Resources, Gorgan, IranDepartments of Civil Engineering and Mechanical Engineering, Mazandaran University of Technology, P.O. Box 484, Babol, IranDepartments of Civil Engineering and Mechanical Engineering, Mazandaran University of Technology, P.O. Box 484, Babol, IranVariational iteration method (VIM) is applied to solve linear and nonlinear boundary value problems with particular significance in structural engineering and fluid mechanics. These problems are used as mathematical models in viscoelastic and inelastic flows, deformation of beams, and plate deflection theory. Comparison is made between the exact solutions and the results of the variational iteration method (VIM). The results reveal that this method is very effective and simple, and that it yields the exact solutions. It was shown that this method can be used effectively for solving linear and nonlinear boundary value problems.http://dx.doi.org/10.1155/2008/394103
collection DOAJ
language English
format Article
sources DOAJ
author A. Barari
M. Omidvar
D. D. Ganji
Abbas Tahmasebi Poor
spellingShingle A. Barari
M. Omidvar
D. D. Ganji
Abbas Tahmasebi Poor
An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
Mathematical Problems in Engineering
author_facet A. Barari
M. Omidvar
D. D. Ganji
Abbas Tahmasebi Poor
author_sort A. Barari
title An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
title_short An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
title_full An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
title_fullStr An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
title_full_unstemmed An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
title_sort approximate solution for boundary value problems in structural engineering and fluid mechanics
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2008-01-01
description Variational iteration method (VIM) is applied to solve linear and nonlinear boundary value problems with particular significance in structural engineering and fluid mechanics. These problems are used as mathematical models in viscoelastic and inelastic flows, deformation of beams, and plate deflection theory. Comparison is made between the exact solutions and the results of the variational iteration method (VIM). The results reveal that this method is very effective and simple, and that it yields the exact solutions. It was shown that this method can be used effectively for solving linear and nonlinear boundary value problems.
url http://dx.doi.org/10.1155/2008/394103
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