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

Coefficient distribution of the stability function of a high order integrator

U. S. U. Aashikpelokhai1 and C. U. Onianwa2*      
1Department of Mathematics, Ambrose Alli University, P. M. B. 14, Ekpoma, Nigeria. 2Department of Computer Science, Ambrose Alli University, P. M. B. 14, Ekpoma, Nigeria.  
Email: [email protected]

  •  Accepted: 20 September 2011
  •  Published: 16 October 2011

Abstract

This study considers the stability function of a high order integrator analysed by Onianwa and Aashikpelokhai (2007) for the sole purpose of having a sound knowledge of the way in which the coefficients of the stability function

is distributed. The study enables us to draw the conclusion as an alternative proof that lies in the unit ball in R3. It also studied and established that the integrator is consistent and convergent.

 

Key words: Consistency, convergence, open unit ball in R3.