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

Implementation of a new 4th order runge kutta formula for solving initial value problems (I.V.Ps)

G. U. Agbeboh1, U .S. U Aashikpelokhai1 and I. Aigbedion2*
1Mathematics Department, Ambrose Alli University, Ekpoma, Nigeria. 2Physics Department, Ambrose Alli University, Ekpoma, Nigeria.
Email: [email protected]

  •  Accepted: 08 March 2007
  •  Published: 30 April 2007

Abstract

A new method for solving singular initial value problems in ordinary differential equations is developed and implemented using the test problem in (1). Results generated through a FORTRAN program were found to be highly accurate and consistent with minima errors in the solution of some selected singular ivps. A comparison of the results generated from the formula was carried out with other Runge Kutta formulae and were found to compare favourably well. 

 

Keywords: Discontinuity, Singularities, Runge- Kutta, Initial Value Problem (ivp).

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