TWO STEPS BLOCK METHOD FOR THE SOLUTION OF GENERAL SECOND ORDER INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATION

Abstract

In this paper, an implicit block linear multistep method for the solution of ordinary differential equation        was extended to the general form of differential equation. This method is self starting and does not        need   a   predictor   to   solve   for   the   unknown   in   the   corrector.   The   method   can   also   be   extended   to        boundary   value   problems  without   additional   cost.   The  method was   found to   be  efficient   after   being        tested with numerical problems of second order.