Quintic splines method for second-order boundary value problems

  • Authors:

  • Tariq Aziz;Arshad Khan;Islam Khan

  • Affiliations:

  • Department of Applied Mathematics, Faculty of Engineering and Technology, AMU, Aligarh-, India;Department of Mathematics, Jamia Millia Islamia, New Delhi, India;Department of Applied Mathematics, Faculty of Engineering and Technology, AMU, Aligarh-, India

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2008

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Abstract

We develop a numerical method for computing smooth approximations to the solution of a system of second-order boundary value problems associated with obstacle, unilateral and contact problems based on uniform mesh quintic splines. It is shown that this method gives better approximations than those produced by other collocation, finite-difference and spline methods. A numerical example is given to illustrate the applicability of the new method.