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2010 Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials
Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini
Int. J. Differ. Equ. 2010: 1-28 (2010). DOI: 10.1155/2010/426213

Abstract

This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. Several examples are given to reconfirm the efficiency of the proposed VIMHP.

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Syed Tauseef Mohyud-Din. Ahmet Yildirim. M. M. Hosseini. "Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials." Int. J. Differ. Equ. 2010 1 - 28, 2010. https://doi.org/10.1155/2010/426213

Information

Received: 7 October 2009; Revised: 4 December 2009; Accepted: 11 February 2010; Published: 2010
First available in Project Euclid: 26 January 2017

zbMATH: 1206.35019
MathSciNet: MR2629625
Digital Object Identifier: 10.1155/2010/426213

Rights: Copyright © 2010 Hindawi

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