THERMAL SCIENCE

International Scientific Journal

Uriel Filobello-Nino

,

Hector Vazquez-Leal

,

Agustin Leobardo Herrera-May

,

Roberto Carlos Ambrosio-Lazaro

,

Victor Manuel Jimenez-Fernandez

,

Mario Alberto Sandoval-Hernandez

,

Oscar Alvarez-Gasca

,

Beatriz Elena Palma-Grayeb

THE STUDY OF HEAT TRANSFER PHENOMENA BY USING MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED BY LAPLACE TRANSFORM

ABSTRACT
In this paper, we present modified homotopy perturbation method coupled by Laplace transform to solve non-linear problems. As case study modified homotopy perturbation method coupled by Laplace transform is employed in order to obtain an approximate solution for the non-linear differential equation that describes the steady-state of a heat 1-D flow. The comparison between approximate and exact solutions shows the practical potentiality of the method.
KEYWORDS
homotopy perturbation method, laplace transform, heat conduction
PAPER SUBMITTED: 2018-01-08
PAPER REVISED: 2018-07-15
PAPER ACCEPTED: 2018-07-20
PUBLISHED ONLINE: 2018-09-29
DOI REFERENCE: https://doi.org/10.2298/TSCI180108204F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 2, PAGES [1105 - 1115]
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The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform

© 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