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

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