THERMAL SCIENCE

International Scientific Journal

Zhen-Jiang Liu

,

Magaji Yunbunga Adamu

,

Enoch Suleiman

,

Ji-Huan He

HYBRIDIZATION OF HOMOTOPY PERTURBATION METHOD AND LAPLACE TRANSFORMATION FOR THE PARTIAL DIFFERENTIAL EQUATIONS

ABSTRACT
Homotopy perturbation method is combined with Laplace transformation to obtain approximate analytical solutions of non-linear differential equations. An example is given to elucidate the solution process and confirm reliability of the method. The result indicates superiority of the method over the conventional homotopy perturbation method due its flexibility in choosing its initial approximation.
KEYWORDS
HPM, Laplace Transformation, He-Laplace method, Nonlinear Differential Equations
PAPER SUBMITTED: 2016-07-15
PAPER REVISED: 2016-08-26
PAPER ACCEPTED: 2016-09-04
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160715078L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1843 - 1846]
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PDF VERSION [DOWNLOAD]
Hybridization of homotopy perturbation method and Laplace transformation for the partial differential equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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