Parametric Cubic Spline Approach to the Solution of a System of Second-Order Boundary-Value Problems

A. Khan and T. Aziz
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A. Khan: Aligarh Muslim University
T. Aziz: Aligarh Muslim University

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 1, No 3, 45-54

Abstract: Abstract We use parametric 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. A numerical example is given to illustrate the applicability and efficiency of the new method.

Keywords: Parametric cubic splines; finite-difference methods; obstacle problems; boundary-value problems; Numerov method (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1024783323624

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