Differential Operators Homotopy Perturbation Method (DOHPM): an automated selection procedure for Adjustment Parameters

Authors

U. Filobello-Nino, Facultad de Instrumentacio´n Electro´nica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltra´n S/N, 91000, Xalapa, Veracruz, Mexico.Follow
H. Vazquez-Leal, Facultad de Instrumentacio´n Electro´nica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltra´n S/N, 91000, Xalapa, Veracruz, MexicoFollow
B. Benhammouda, Higher Colleges of Technology, Abu Dhabi Men’s College, P.O. Box 25035, Abu Dhabi, United Arab EmiratesFollow
A. Perez-Sesma, Facultad de Instrumentacio´n Electro´nica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltra´n S/N, 91000, Xalapa, Veracruz, Mexico.Follow
A. Sarmiento-Reyes, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. Mar´ıa Tonantzintla 72840, Puebla, MexicoFollow
V. M. JimenezFernandez, Facultad de Instrumentacio´n Electro´nica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltra´n S/N, 91000, Xalapa, Veracruz, Mexico.Follow

Author Country (or Countries)

Mexico

Abstract

This paper proposes a modified version of HPM method (DOHPM method), introducing in a systematic fashion, adjustment parameters in order to obtain analytical approximate solutions for nonlinear differential equations by using certain differential operators to turn a nonlinear differential equation into other of higher order. Comparison with exact solution shows that DOHPM method is highly efficient if the initial guess is chosen adequately

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110605

Recommended Citation

Filobello-Nino, U.; Vazquez-Leal, H.; Benhammouda, B.; Perez-Sesma, A.; Sarmiento-Reyes, A.; and M. JimenezFernandez, V. (2017) "Differential Operators Homotopy Perturbation Method (DOHPM): an automated selection procedure for Adjustment Parameters," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 5.
DOI: http://dx.doi.org/10.18576/amis/110605
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/5