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Quartic Non-Polynomial Splines Approach to the Solution of a System of Second-Order Boundary-Value Problems

University of Engineering and Technology Peshawar (NWFP), Pakistan, sirajuet{at}yahoo.com

Ikram A. Tirmizi

Gik Institute of Engineering Sciences and Technology, Topi, NWFP, Pakistan

Fazal Haq

Gik Institute of Engineering Sciences and Technology, Topi, NWFP, Pakistan

Quartic non-polynomial spline functions are used to develop numerical methods for computing approximations to the solution of systems of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the present methods give approximations, which are better than those produced by other collocation, finite-difference and spline methods. Convergence analysis of the method for obstacle problems is discussed. Numeric example’s given to illustrate practical usefulness of the new approach.

Key Words: quartic non-polynomial spline functions • finite-difference methods • obstacle problems • boundary-value problems

International Journal of High Performance Computing Applications, Vol. 21, No. 1, 42-49 (2007)
DOI: 10.1177/1094342006074859


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