DERIVATION OF A 2-POINT VARIABLE STEP SIZE SUPER CLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING SECONND ORDER ORDINARY DIFFERENTIAL EQUATIONS (ODEs)

Abstract

In this paper the detail of the derivation of a new numerical method for the nummerical integration of second order ODEs is presented with variable step size strategy, the order of the method is two, and the stability analysis of the method shows that the method is zero stable and it is Convergent,   therefore the method can serve as an efficient method for solving second order ODEs.