International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Full Length Research Paper

Singulo oscillatory – stiff rational integrators

Elakhe O. A.* and Aashikpelokhai U. S. U.
Mathematics Department, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
Email: [email protected]

  •  Accepted: 04 September 2013
  •  Published: 16 September 2013

Abstract

In this paper, we derive a general singulo oscillatory – stiff rational integrator of order (S+3) for s = 0, 1, 2, 3, 4,… for the solution of initial value problems in ordinary differential systems that are singular, oscillatory or stiff. We compared our integrators with certain maximum order second derivative hybrid multi-step methods, certain Tau and Euler methods, the adaptive implicit and classical Runge-Kutta methods and some existing conventional methods. Our results show good improvement over the existing methods compared with.

 

Key words: Rational integrator, initial value problems, stability, convergence, consistency.