Journal of Optimization Theory and Applications

, Volume 118, Issue 1, pp 45–54

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

  • A. Khan
  • T. Aziz

DOI: 10.1023/A:1024783323624

Cite this article as:
Khan, A. & Aziz, T. Journal of Optimization Theory and Applications (2003) 118: 45. doi:10.1023/A:1024783323624


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.

Parametric cubic splinesfinite-difference methodsobstacle problemsboundary-value problemsNumerov method

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • A. Khan
    • 1
  • T. Aziz
    • 1
  1. 1.Department of Applied Mathematics, Faculty of Engineering and TechnologyAligarh Muslim UniversityAligarhIndia