On a Practical Methodology for Solving BVP Problems by Using a Modified Version of Picard Method

Authors

U. Filobello-Nino, Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr´an S/N, 91000, Xalapa, Veracruz, M´exico.Follow
H. Vazquez-Leal, Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr´an S/N, 91000, Xalapa, Veracruz, M´exico.Follow
A. Perez-Sesma, Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr´an S/N, 91000, Xalapa, Veracruz, M´exico.Follow
J. Cervantes-Perez, Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr´an S/N, 91000, Xalapa, Veracruz, M´exico.Follow
L. Hernandez-Martinez, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. Mar´ıa Tonantzintla 72840, Puebla, M´exico.Follow
A. Herrera-May, Micro and Nanotechnology Research Center, University of Veracruz, Calzada, Ruiz Cortines 455, Boca del Rio 94292, Veracruz, M´exico.Follow

Author Country (or Countries)

M´exico.

Abstract

The aim of this paper is to propose a modified version of Picard Method, the Boundary Value Problems Picard Method (BVPP), which allows the solution of BVP problems, with few iterations. What is more, as case study, BVPP is employed to get approximate solutions to four differential equations; two linear and two nonlinear. Comparing figures between approximate and exact solutions, it is shown that BVPP method can generate handy approximate solutions with the desired degree of accuracy.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100414

Recommended Citation

Filobello-Nino, U.; Vazquez-Leal, H.; Perez-Sesma, A.; Cervantes-Perez, J.; Hernandez-Martinez, L.; and Herrera-May, A. (2016) "On a Practical Methodology for Solving BVP Problems by Using a Modified Version of Picard Method," Applied Mathematics & Information Sciences: Vol. 10: Iss. 4, Article 14.
DOI: http://dx.doi.org/10.18576/amis/100414
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss4/14