Approximate Solution Method for Third-Order Multi-Point Boundary Value Problems

Ogunlaran, O. M. and Oladejo, N. K. Approximate Solution Method for Third-Order Multi-Point Boundary Value Problems. International Journal of Mathematical Sciences, 34 (2). pp. 1571-1580. ISSN 2051-5995

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Abstract

In this paper, we formulate a method using Chebyshev polynomials for solving both linear and non-linear multi-point boundary value problems. Quasi linearization technique is used to transform a non-linear boundary value problem into a sequence of linear boundary value problems with a quadratic polynomial which satisfies the boundary conditions chosen as the initial approximation. Four numerical examples are given to demonstrate the efficiency of the present method and the results obtained are compared with other methods in the literatures.

Item Type: Article
Subjects: Q Science > QA Mathematics
Depositing User: ELDER OGUNTAYO SUNDAY ADEBISI
Date Deposited: 26 Nov 2018 09:56
Last Modified: 13 Sep 2019 11:19
URI: https://eprints.lmu.edu.ng/id/eprint/1360

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