International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

On non-standard finite difference schemes for initial value problems in ordinary differential equations

E. A. Ibijola1*, J. M. S. Lubuma2 and O. A. Ade-Ibijola3
1Department of Mathematical Sciences, University of Ado-Ekiti, Nigeria 2Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, South, Africa. 3Department of Mathematical Sciences, Nasarawa State University Keffi, Nigeria.
Email: [email protected]

  •  Accepted: 07 February 2008
  •  Published: 29 February 2008

Abstract

In this paper, we present the theory of non-standard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed.  We also examine the stability properties of the constructed schemes.

 

Keywords: Non-standard, stability, non-local approximation, initial value problem, ordinary differential equations.

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