Comparison of second and third orders Runge-Kutta methods for solving initial-value problems in ordinary differential equations
AbstractThis work is concerned with the analysis of second and third orders Runge-
Kutta formulae capable of solving initial value problems in Ordinary Differential Equations of the form: y1 = f(x, y), y(x0) = y0, a £ x £ b. The intention is to find out which of these two orders can improve the performance of results when implemented on the initial-value problems defined above. We found out that the higher the order, the better the performance of that order. When parameters are properly varied, performance may also improve.