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Modified variational iteration method for solving a neutral functional‐differential equation with proportional delays

H. Ghaneai (Faculty of Mathematics, Yazd University, Yazd, Iran)
M.M. Hosseini (Faculty of Mathematics, Yazd University, Yazd, Iran)
Syed Tauseef Mohyud‐Din (Department of Basic Science, Heavy Industries Taxila Education City, HITEC University, Taxila Cantt, Pakistan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 26 October 2012

245

Abstract

Purpose

The purpose of this paper is to introduce an auxiliary parameter into the well‐known variational iteration algorithm which proves very effective to control the convergence region of approximate solution.

Design/methodology/approach

In this paper, an auxiliary parameter is introduced into the well‐known variational iteration algorithm which proves very effective to control the convergence region of approximate solution.

Findings

The present technology provides a simple way to adjust and control the convergence region of approximate solution for any values. An optimal auxiliary parameter can be obtained by the error of norm two of the residual function.

Originality/value

It is confirmed that submitted manuscript is original and is not being considered in any other journal.

Keywords

Citation

Ghaneai, H., Hosseini, M.M. and Tauseef Mohyud‐Din, S. (2012), "Modified variational iteration method for solving a neutral functional‐differential equation with proportional delays", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 8, pp. 1086-1095. https://doi.org/10.1108/09615531211271880

Publisher

:

Emerald Group Publishing Limited

Copyright © 2012, Emerald Group Publishing Limited

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