Non polynomial spline approach to the solution of a system of second-order boundary-value problems. | [Proceedings of 4th International Bhurban Conference on Applied Sciences and Technology • 2005]

Author(s):

1. Siraj-Ul-Islam: GIK Institute of Engineering Sciences & Technology, Topi NWFP, Pakistan

2. Ikram A. Tirmizi: GIK Institute of Engineering Sciences & Technology, Topi NWFP, Pakistan

3. Saadat Asharf: GIK Institute of Engineering Sciences & Technology, Topi NWFP, Pakistan

4. Fazali Rahman: GIK Institute of Engineering Sciences & Technology, Topi NWFP, Pakistan

Abstract:

We use non polynomial cubic spline functions to develop a numerical method for computing approximations to the solution of a system of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. We show that the present method gives approximations which are better than those produced by other collocation, finite-difference and spline methods. Convergence analysis of the method is discussed. A numerical example is given to illustrate practical usefulness of the new method.

Page(s): 163-173

DOI: DOI not available

Published: Journal: Proceedings of 4th International Bhurban Conference on Applied Sciences and Technology, Volume: 0, Issue: , Year: 2005

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