An easy and computable approximation for Troesch’s problem by using the Laplace Transform-Homotopy Perturbation Method

Filobello-Nino, U.; Vazquez-Leal, H.; Herrera-May, A. L.; Jimenez-Fernandez, V. M.; Cervantes-Perez, J.; Pereyra-Diaz, D.; Hoyos-Reyes, C.; Sandoval-Hernandez, M. A.; Huerta-Chua, J.

doi:10.15174/au.2019.2065

Services on Demand

Journal

Article

Indicators

Cited by SciELO
Access statistics

Acta universitaria

On-line version ISSN 2007-9621Print version ISSN 0188-6266

Abstract

FILOBELLO-NINO, U. et al. An easy and computable approximation for Troesch^’s problem by using the Laplace Transform-Homotopy Perturbation Method. Acta univ [online]. 2019, vol.29, e2065. Epub Dec 01, 2019. ISSN 2007-9621. https://doi.org/10.15174/au.2019.2065.

This work introduces the Laplace Transform-Homotopy Perturbation Method (LT-HPM) in order to provide an approximate solution for Troesch’s problem. After comparing figures between exact and approximate solutions, as well as the average absolute relative error (AARE) of the approximate solutions of this research, with others reported in the literature, it can be said that the proposed solutions are accurate and handy. In conclusion, LT-HPM is a potentially useful tool.

Keywords : Laplace Transform; Homotopy Perturbation Method; Troesch’s Problem.

· abstract in Spanish · text in English · English (

pdf )