Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

Tunde A. Adeosun, Olugbenga J. Fenuga, Samuel O. Adelana, Abosede M. John, Ogunjimi Olalekan, Kazeem B. Alao

Department of Mathematics, University of Lagos, Lagos, Nigeria.
Department of Mathematics, Yaba College of Technology, Lagos, Nigeria.
Department of Mechanical Engineering, Yaba College of Technology, Lagos, Nigeria.

DOI: 10.4236/am.2013.410190                

Abstract

In this paper, we extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thirteenth order differential equations in boundary value problems. The method is based on boundary valued problems. Two numerical examples are presented for the numerical illustration of the method and their results are compared with those considered by [1,2]. The results reveal that VIM is very effective and highly promising in comparison with other numerical methods.

Keywords

Variational Iteration Method; Boundary Value Problems; Linear and Nonlinear Problems; Approximate Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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