Numerical Solution of a Linear Third Order Multi-Point Boundary Value Problems Using Fixed Point Iterative Method

Authors

Nakone Bello, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, NigeriaFollow
Abubakar Roko, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, NigeriaFollow
Aminu Mustafa, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, NigeriaFollow

Author Country (or Countries)

Nigeria

Abstract

In this paper, we propose a fixed point iteration method similar to Mann iteration process for solving two and three point boundary value problems described by a linear third order differential equation. The convergence of the method is proved and examples are given to demonstrate the accuracy of the method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100318

Recommended Citation

Bello, Nakone; Roko, Abubakar; and Mustafa, Aminu (2018) "Numerical Solution of a Linear Third Order Multi-Point Boundary Value Problems Using Fixed Point Iterative Method," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 18.
DOI: http://dx.doi.org/10.18576/journal/100318
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/18