Research Article Open Access

A New Block Method for Special Third Order Ordinary Differential Equations

B. T. Olabode and Y. Yusuph

Abstract

A linear multistep method for the direct solution of initial value problems of ordinary differential equations was presented in this article. Collocation approximation method was adopted in the derivation of the scheme and then the scheme was applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. The new block method possessed the desirable feature of Runge-Kutta method of being self-starting and eliminated the use of predictors. The 3-step block method is P-stable, consistent and more accurate than the existing one. Experimental results confirmed the superiority of the new scheme over the existing method.

Journal of Mathematics and Statistics
Volume 5 No. 3, 2009, 167-170

DOI: https://doi.org/10.3844/jmssp.2009.167.170

Submitted On: 16 May 2007 Published On: 30 September 2009

How to Cite: Olabode, B. T. & Yusuph, Y. (2009). A New Block Method for Special Third Order Ordinary Differential Equations . Journal of Mathematics and Statistics, 5(3), 167-170. https://doi.org/10.3844/jmssp.2009.167.170

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Keywords

  • Linear multistep method
  • P-stable
  • third order IVPS of ODES
  • Interval of periodicity
  • corrector and predictor