Main Article Content
Comparison of second and third orders Runge-Kutta methods for solving initial-value problems in ordinary differential equations
Abstract
This 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.
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.
