Parametric Quintic-Spline Approach to the Solution of a System of Fourth-Order Boundary-Value Problems

A. Khan, M. A. Noor and T. Aziz
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A. Khan: Aligarh Muslim University
M. A. Noor: Etisalat College of Engineering
T. Aziz: Faculty of Engineering and Technology, Aligarh Muslim University

Journal of Optimization Theory and Applications, 2004, vol. 122, issue 2, No 4, 309-322

Abstract: Abstract In this paper, we use parametric quintic splines to derive some consistency relations which are then used to develop a numerical method for computing the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is known that a class of variational inequalities related to contact problems in elastostatics can be characterized by a sequence of variational inequations, which are solved using some numerical method. Numerical evidence is presented to show the applicability and superiority of the new method over other collocation, finite difference, and spline methods.

Keywords: Parametric quintic splines; finite-difference methods; obstacle problems; system of boundary-value problems (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/B:JOTA.0000042523.83186.4c

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