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NEW APPROACH TO PARAMETERIZED HOMOTOPY PERTURBATION METHOD

ABSTRACT
In this paper, new approach to parameterized homotopy perturbation method is presented to solve non-oscillatory problems. In contrast to the classical version of the homotopy method, optimal value of α is identified and used to obtain approximate solutions. The new approach is powerful as it effectively handled non-oscillatory problems and gives results with the smallest known errors.
KEYWORDS
PAPER SUBMITTED: 2016-12-23
PAPER REVISED: 2017-03-20
PAPER ACCEPTED: 2017-03-28
PUBLISHED ONLINE: 2018-09-10
DOI REFERENCE: https://doi.org/10.2298/TSCI1804865A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE 4, PAGES [1865 - 1870]
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© 2018 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence