Quartic spline method for solving fourth order obstacle boundary value problems

Authors:
Eisa A. Al-Said;Muhammad Aslam Noor
Affiliations:
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada B3H 3J5
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

Citing 2
Cited 3

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Abstract

In this paper, we use uniform quartic polynomial splines to develop a new method, which is used for computing approximations to the solution and its first, second as well as third derivatives for a system of fourth order boundary value problems associated with obstacle, unilateral and contact problems. It is shown that the present method is of order two and gives approximations which are better than those produced by other collocation and finite difference methods. Numerical examples are presented to illustrate the applicability of the new method.