A New Block Method for Special Third Order Ordinary Differential Equations
B. T. Olabode and Y. Yusuph
DOI : 10.3844/jmssp.2009.167.170
Journal of Mathematics and Statistics
Volume 5, Issue 3
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.
© 2009 B. T. Olabode and Y. Yusuph. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.