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

Author:

Filobello-Nino Uriel1,Vazquez-Leal Hector1,Herrera-May Agustin2,Ambrosio-Lazaro Roberto3,Jimenez-Fernandez Victor1,Sandoval-Hernandez Mario4,Alvarez-Gasca Oscar1,Palma-Grayeb Beatriz1

Affiliation:

1. Facultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, México

2. Micro 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 Corti

3. Facultad de Ingeniería de la Construcción y el Hábitat, Universidad Veracruzana, Calzada Ruíz Cortines, Boca del Río, Veracruz, Mexico

4. National Institute of Astrophysics, Optics and Electronics, Santa María Tonatzintla, Puebla, México

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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