International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

A non-polynomial spline method for solving linear fourth-order boundary-value problems

Omotayo A. Taiwo1* and Oladotun M. Ogunlaran2
  1Department of Mathematics, Faculty of Science, University of Ilorin, Ilorin, Nigeria. 2Department of Mathematics and Statistics, Faculty of Science and Science Education, Bowen University, Iwo, Nigeria.  
Email: [email protected]

  •  Accepted: 07 March 2011
  •  Published: 31 July 2011

Abstract

 

In this paper, we use a non-polynomial spline method to develop a numerical technique for solving linear fourth-order boundary-value problems which are first reduced to a system of second-order boundary-value problems. Three numerical examples are considered to demonstrate the usefulness of the method and to show that the method converges with sufficient accuracy to the exact solutions.

 

Key words: Cubic spline, non polynomial spline, boundary-value problems, system of equations.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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