The Comparison of runge-kutta and adamd- bashforh-moulton methods for The First order ordinry differential Equations

Abstract

The performances of Runge compared by considering first order ordinary differential equations. Moreover the effectiveness of modifiers in the ABM method has been validated. The result of this research show that ABM method is the most efficient method for first order ODE but in So it is not possible to make generalizations. But it is possible to conclude that the performance of a given method depend on the characteristics of the ODEs we are considering such as stiffness and stabilit are effective in improving the accuracy of ABM method in most cases.