THE REVERSED ESTIMATION OF VARIABLE STEP SIZE IMPLEMENTATION FOR SOLVING NONSTIFF ORDINARY DIFFERENTIAL EQUATIONS

This study is design to examine the reversed estimation of variable step-size implementation for solving nonstiff ordinary differential equations. This is exclusively dependent on the principal local truncation error of both predictor and corrector formulae of the same order. Collocation and interpolation methods with the aid of power series as the approximate function is utilized in the construction of a class of predictor and corrector formulae of the same order with distinct. The computed results existed in literatures demonstrated the performance of the method over existing methods. The reversed estimation of predictor and corrector formulae is solely the predictor formulae and also, draws a lot of computational benefits which insures convergence, tolerance level, monitoring the step size and maximum errors