African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 248

Full Length Research Paper

Three-step optimized block backward differentiation formulae (TOBBDF) for solving stiff ordinary differential equations

Ukpebor L. A.
  • Ukpebor L. A.
  • Department of Mathematics, Ambrose Alli University Ekpoma, P.M. B. 14, Edo State, Nigeria.
  • Google Scholar
Omole E. O.
  • Omole E. O.
  • Department of Mathematics and Statistics, Joseph Ayo Babalola University, Ikeji-Arakeji, Osun State, Nigeria.
  • Google Scholar


  •  Received: 05 November 2019
  •  Accepted: 13 March 2020
  •  Published: 30 April 2020

Abstract

A three-step optimized block backward differentiation formulae for solving stiff ordinary differential equations of first-orderdifferential equations is presented. The method adopts polynomial of order 6 and three hybrid pointschosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples were solved to examine the efficiency and accuracy of the proposedmethod. The results show that the method is accurate.

Key words: Three-step, optimized block backward differentiation formulae, stiff, zero stable, consistent, convergent, first-order.