Analytical investigation of a fourth-order boundary value problem in deformation of beams and plate deflection theory

被引：7
作者：
Choobbasti, A.J. [1 ]
Barari, A. [1 ]
Farrokhzad, F. [1 ]
Ganji, D.D. [1 ]
机构：
[1] Department of Civil and Mechanical Engineering, University of Mazandaran, Babol, Mazandaran
来源：
Journal of Applied Sciences | 2008年 / 8卷 / 11期
关键词：
Boundary-value problems and exact solution; Deformation of elastic beams; Homotopy perturbation method; Plate deflection theory; Variational iteration method;
D O I：
10.3923/jas.2008.2148.2152
中图分类号：
学科分类号：
摘要：
In this research, variational iteration method and homotopy perturbation method are applied to solve a nonlinear fourth order boundary value problem. These problems used as mathematical models in viscoelastic inelastic flows and deformation of beams and plate deflection theory. Comparison is made between the exact solutions and the results of the Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM). The results reveal that these methods are very effective and simple. In this survey, it will be shown that these methods can also be used for solving nonlinear boundary value problems. © 2008 Asian Network for Scientific Information.
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页码：2148 / 2152
页数：4
相关论文
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