Open AccessA New Block Method for Special Third Order Ordinary Differential Equations
Author(s) -
B T Olabode,
Y. Yusuph
Publication year - 2009
Publication title -
journal of mathematics and statistics
Language(s) - English
Resource type - Journals
eISSN - 1558-6359
pISSN - 1549-3644
DOI - 10.3844/jmssp.2009.167.170
Subject(s) - mathematics , ordinary differential equation , block (permutation group theory) , order (exchange) , third order , reduction of order , differential equation , mathematical analysis , differential algebraic equation , combinatorics , philosophy , theology , finance , economics
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