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Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

¹ Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
² Department of Mathematics, University of Lagos, Lagos, Nigeria
³ Department of Mechanical Engineering, Yaba College of Technology, Lagos, Nigeria
⁴ Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
⁵ Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
⁶ Department of Mathematics, Yaba College of Technology, Lagos, Nigeria

Applied Mathematics·Volume 04 (2013)·Pages 1405–1411·Published 25 September 2013·DOI10.4236/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.

KeywordsVariational Iteration MethodBoundary Value ProblemsLinear and Nonlinear ProblemsApproximate Solution

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Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

Abstract

References (18)