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

On the solution of singular initial value problems in ordinary differential equations using a new third order inverse Runge-Kutta method

G. U. Agbeboh* and B. Omonkaro
Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
Email: [email protected]

  •  Accepted: 30 December 2009
  •  Published: 30 April 2010


A new third order rational Runge-Kutta formula is derived and implemented. Results obtained are compared with the existing formulae to determine the level of its performance, consistency and accuracy. It was discovered from the computation carried out that errors are minimized while using the new scheme.


Key words: Inverse Runge-Kutta method, rational mesh size, rate of convergence, consistence computer time and error analysis.