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International Journal of Computer Mathematics Volume 81, 2004 - Issue 6
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Finite difference method for solving fourth-order obstacle problems

Eisa A. Al-said * Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
,
Muhammad Aslam Noor Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab EmiratesCorrespondence[email protected]
,
Dogan Kaya ‡ Department of Mathematics, Firat University, Elazig, 23119, Turkey
&
Kamel Al-khaled § Department of Mathematics and Computer Science, United Arab Emirates University, Al Ain, United Arab Emirates
Pages 741-748 | Received 16 Jun 2003, Accepted 20 Nov 2003, Published online: 25 Jan 2007
 
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Abstract

In this article, we introduce and develop a new finite difference method for solving a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. The convergence analysis of the new method has been discussed and it was shown that the order is four and it gives approximations, which are better than those produced by other collocation, finite difference and spline methods. Numerical examples are presented to illustrate the applications of this method.

E-mail: [email protected]

E-mail: [email protected]

E-mail: [email protected]

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