BACKWARD DIFFERENTIATION FORMULA FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS (ODEs)

Abstract

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