The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform

The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform

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...

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Main Authors: Filobello-Nino Uriel, Vazquez-Leal Hector, Herrera-May Agustin L., Ambrosio-Lazaro Roberto C., Jimenez-Fernandez Victor M., Sandoval-Hernandez Mario A., Alvarez-Gasca Oscar, Palma-Grayeb Beatriz E.
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2020-01-01
Series:Thermal Science
Subjects:
homotopy perturbation method
laplace transform
heat conduction
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98361800204F.pdf
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spelling doaj-fa7f421f309f4b1aa697db96f7d254f62021-01-02T09:01:11ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362020-01-01242 Part B1105111510.2298/TSCI180108204F0354-98361800204FThe study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transformFilobello-Nino Uriel0Vazquez-Leal Hector1Herrera-May Agustin L.2Ambrosio-Lazaro Roberto C.3Jimenez-Fernandez Victor M.4Sandoval-Hernandez Mario A.5Alvarez-Gasca Oscar6Palma-Grayeb Beatriz E.7Facultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, MéxicoFacultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, MéxicoMicro and Nanotechnology Research Center, Universidad Veracruzana, Calzada Ruiz Cortínes, Boca del Río, Veracruz, México + Maestría en Ingeniería Aplicada, Facultad de Ingeniería de la Construcción y el Hábitat, Universidad Veracruzana, Calzada Ruíz CortiFacultad de Ingeniería de la Construcción y el Hábitat, Universidad Veracruzana, Calzada Ruíz Cortines, Boca del Río, Veracruz, MexicoFacultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, MéxicoNational Institute of Astrophysics, Optics and Electronics, Santa María Tonatzintla, Puebla, MéxicoFacultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, MéxicoFacultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, MéxicoIn 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98361800204F.pdfhomotopy perturbation methodlaplace transformheat conduction
collection DOAJ
language English
format Article
sources DOAJ
author Filobello-Nino Uriel
Vazquez-Leal Hector
Herrera-May Agustin L.
Ambrosio-Lazaro Roberto C.
Jimenez-Fernandez Victor M.
Sandoval-Hernandez Mario A.
Alvarez-Gasca Oscar
Palma-Grayeb Beatriz E.
spellingShingle Filobello-Nino Uriel
Vazquez-Leal Hector
Herrera-May Agustin L.
Ambrosio-Lazaro Roberto C.
Jimenez-Fernandez Victor M.
Sandoval-Hernandez Mario A.
Alvarez-Gasca Oscar
Palma-Grayeb Beatriz E.
The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
Thermal Science
homotopy perturbation method
laplace transform
heat conduction
author_facet Filobello-Nino Uriel
Vazquez-Leal Hector
Herrera-May Agustin L.
Ambrosio-Lazaro Roberto C.
Jimenez-Fernandez Victor M.
Sandoval-Hernandez Mario A.
Alvarez-Gasca Oscar
Palma-Grayeb Beatriz E.
author_sort Filobello-Nino Uriel
title The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
title_short The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
title_full The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
title_fullStr The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
title_full_unstemmed The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform
title_sort study of heat transfer phenomena by using modified homotopy perturbation method coupled by laplace transform
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
publishDate 2020-01-01
description 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.
topic homotopy perturbation method
laplace transform
heat conduction
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98361800204F.pdf
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