New Analytic Technique for the Solution of Nth Order Nonlinear Two-point Boundary Value Problems
Saheed Ojo Akindeinde *
Department of Mathematics, Obafemi Awolowo University, PMB 220005, Ile-Ife, Nigeria.
Eric Okyere
Department of Basic Sciences, University of Health and Allied Sciences, School of Basic and Biomedical Sciences, PMB 31, Ho, Volta Region, Ghana.
*Author to whom correspondence should be addressed.
Abstract
In this article, a new analytic technique based on Parker-Sochacki iteration is introduced for computing series solution of a general nonlinear two-point boundary value problems with Dirichlet and Neumann boundary conditions. For problems with or without analytic solution, we found out that this easy-to-implement method produced highly accurate results without linearization when compared with their closed form solutions.
Keywords: Parker-Sochacki method, nonlinear boundary value problem, power series solution