Vol. 29 (2019)
Artículos de Investigación

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

U. Filobello-Nino
Universidad Veracruzana
Bio
H. Vazquez-Leal
Universidad Veracruzana
Bio
A. L. Herrera-May
Universidad Veracruzana
Bio
V. M. Jimenez-Fernandez
Universidad Veracruzana
Bio
J. Cervantes-Perez
Universidad Veracruzana
Bio
D. Pereyra-Diaz
Universidad Veracruzana
Bio
C. Hoyos-Reyes
Universidad Veracruzana
Bio
M. A. Sandoval-Hernandez
National Institute for Astrophysics, Optics and Electronics
Bio
J. Huerta-Chua
Universidad Veracruzana
Bio
R. Ruiz-Gomez
Universidad Veracruzana
Bio

Published 2019-09-02

How to Cite

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., & Ruiz-Gomez, R. (2019). An easy and computable approximation for Troesch’s problem by using the Laplace Transform-Homotopy Perturbation Method. Acta Universitaria, 29, 1–14. https://doi.org/10.15174/au.2019.2065

Abstract

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.