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

Amin Barari | Zendy; Mehdi Omidvar | Zendy; D.D. Ganji | Zendy; A. Tahmasebi Poor | Zendy

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

Author(s) -

Amin Barari,

Mehdi Omidvar,

D.D. Ganji,

A. Tahmasebi Poor

Publication year - 2008

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2008/394103

Subject(s) - boundary value problem , nonlinear system , deflection (physics) , mathematics , viscoelasticity , mathematical analysis , simple (philosophy) , classical mechanics , physics , thermodynamics , philosophy , epistemology , quantum 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 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

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