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Research Article Open access CC BY 4.0

New Analytic Technique for the Solution of Nth Order Nonlinear Two-point Boundary Value Problems

Saheed Ojo Akindeinde, Eric Okyere

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 3 Mar 2016

10.9734/BJMCS/2016/24365

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.

Parker-Sochacki method nonlinear boundary value problem power series solution

Cited by 5

IMPROVED PARKER-SOCHACKI METHOD FOR CLOSED FORM SOLUTION OF TWO AND THREE-POINT BOUNDARY VALUE PROBLEMS OF $N$-TH ORDER ODES

S. Akindeinde · 2016

A New Analytic Approximation of Luminosity Distance in Cosmology Using the Parker–Sochacki Method

J. Sultana · 2022

An Adaptive, Highly Accurate and Efficient, Parker-Sochacki Algorithm for Numerical Solutions to Initial Value Ordinary Differential Equation Systems

Jenna Guenther · SIAM Undergraduate Research Online · 2019

Parker-Sochacki Method for the Solution of Convective Straight Fins Problem with Temperature-Dependent Thermal Conductivity

S. Akindeinde · 2018

A New Analytic Approximation of Luminosity Distance in Cosmology Using the Parker–Sochacki Method

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