THE MULTISTEP MULTIDERIVATIVE METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS

In a recent paper, Shokri [14] introduce a new class of hybrid Obrechkoff methods for the numerical solution of second order initial value problems. In this work, we will derive the new class of, higher order, multistep methods with multiderivatives for the numerical solution of first order initial value problems. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.