Application of collocation approximations for the solution of fourth-order nonlinear boundary value problems. | [Proceedings of Pakistan Academy of Sciences • 2009]

Author(s):

1. O. A. Taiwo: Department of Mathematics, Faculty of Science, University of Ilorin, Ilorin, Nigeria

Abstract:

This paper concerns the application of collocation approximation for the solution of fourth-order nonlinear boundary value problems by Chebyshev polynomial approximation. A new basis function for a collocation solution called Chebyshev basis via standard and Perturbed methods was used. Methods discussed in the paper cannot handle nonlinear directly; hence the nonlinear cases treated by the Newton`s linearization scheme of order 4. Numerical examples were given to illustrate the effectiveness of the methods discussed in this paper. Mathematical software `MATLAB` was used to solve the algebraic system of equations obtained in the illustrative examples.

Page(s): 85-89

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 46, Issue: 2, Year: 2009

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