TWO STEP IMPLICIT BLOCK TAYLOR METHOD FOR THE SOLUTION OF THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

 In this research, an implicit two step block method (ITSBM) for the numerical solution of third order initial value problems of ordinary differential equations has been developed by Taylor expansion technique. The ITSBM developed, when implemented it gave simultaneous solution at every step point. A comparison of our method to an existing method after application to some sample problems reveals that our method was more refined. And also, the ITSBM is self starting, zero stable and consistent.