Nonlinearities distribution Laplace transform-homotopy perturbation method.
This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Uriel
U
Filobello-Nino
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Hector
H
Vazquez-Leal
Higher Colleges of Technology, Abu Dhabi Men's College, P.O. Box 25035, Abu Dhabi, United Arab Emirates.
Brahim
B
Benhammouda
National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. María Tonantzintla, 72840 Puebla, México.
Luis
L
Hernandez-Martinez
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Claudio
C
Hoyos-Reyes
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Jose Antonio Agustin
JA
Perez-Sesma
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Victor Manuel
VM
Jimenez-Fernandez
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Domitilo
D
Pereyra-Diaz
Department of Artificial Intelligence, Universidad Veracruzana, Sebastián Camacho No. 5 Centro., Xalapa, Veracruz 91000 México.
Antonio
A
Marin-Hernandez
National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. María Tonantzintla, 72840 Puebla, México.
Alejandro
A
Diaz-Sanchez
Civil Engineering School, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolución, 93390 Poza Rica, Veracruz México.
Jesus
J
Huerta-Chua
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 9100 Veracruz México.
Juan
J
Cervantes-Perez
Approximate solutions; Finite boundary conditions; Homotopy perturbation method; Laplace transform; Laplace transform homotopy perturbation method; Nonlinear differential equation