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: 254

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


Abdelrahim R, Omar Z, Kuboye JO (2016). New hybrid block method with three off-step points for solving first-order ordinary differential equations. American Journal of Applied Sciences1(3):3-6.


Areo EA, Adeniyi RB (2014). Block implicit one-step method for the numerical integration of initial value problems in ordinary differential equations. International Journal of Mathematics and Statistics Studies 2(3):4-13.


Bothayna SH, Muhammed IS (2019). Optimization of one-step block method with three hybrid points for solving first-order ordinarydifferential equations. Results in Physics 12:592-596.


Dahlquist G (1956). Convergence and stability in the numerical integration of ordinary differential equations.MathematicaScandinavica4:33-56.


Fotta AU, Alabi TJ (2015). Block method with one hybrid point for the solution of first order initial value problems of ordinary differential equations. International Journal of Pure and Applied Mathematics 103(3):511-21.


Henrici P (1962). Discrete variable methods in ODE. New York, NY, USA: John Wiley & Sons.


Lambert JD (1973).Computational methods in ODE. John Wiley & Sons, New York.


Milne WE (1953).Numerical solution of differential equations. New York, NY, USA: John. Wiley & Sons.


Odejide SA, Adeniran AO (2012). A Hybrid linear collocation multistep scheme for solving first-order initial value problems. Journal of Nigerian Mathematical Society 31:229-241.


Olanegan OO, Ogunware BG, Omole EO, Oyinloye TS, Enoch BT(2015). Some Variable Hybrids Linear Multistep Methods for Solving First-order Ordinary Differential Equations Using Taylor's Series, IOSR Journal of Mathematics 5 (1):8-13.


Ramos H (2017). An optimized two-step hybrid block method for solving first-order initialvalue problems in ODEs. Journal of Differential Geometry-Dynamical Systems 19:107-118.


Raymond D, Donald JZ, Michael AI, Ajileye G (2018). A Self-Starting Five-Step Eight-Order Block Method for Stiff Ordinary Differential Equations.Journal of Advances in Mathematics and Computer Science 26(4):1-9.


Rufai MA, Duromola MK, Ganiyu AA (2016). Derivation of one-sixth hybrid block method for solving general first-order ordinary differential equations. IOSR-JM 12(5):20-27.


Sagir AM (2014). Numerical treatment of block method for the solution of ordinary differential equations.Int J Bioeng Life Sci 8(2):259-63.


Sunday J, Skwame Y, Tumba PA (2015).quarter-step hybrid block method for first-order ordinary differential equations. Journal of Advances in Mathematics and Computer Science 6(4):269-278.


Yahaya YA, Tijjani AA (2015). Formulation of corrector methods from 3-step hybrid adams type methods for the solution of first-order ordinary differential equation pp. 102-107.


Yakusak NS, Adeniyi RB (2015). A four-step hybrid block method for first order initial value problems in ordinary differential equations. AMSE Journals Series: Advances A 52(1):17-30.