Abstract:
the researcher compere the accuracy of different methods, such as the Improved Euler,
Runge-Kutta order four and Rung-Kutta Fehlberg methods with initial value problems
the results obtained from MATLAB and compare by table and graph A number of
numerical examples on the completion of initial value problems computerizations to
compere the accuracy between the Improved Euler, Runge-Kutta order four and RungKutta Fehlberg methods. In addition accuracy is being pointed out through error. From
the research result Improved Euler method has an error greater than Runge-Kutta order four method while the Runge-Kutta Fehlberg method less error than Runge-Kutta
order four method. It can be conclude that Runge-Kutta order four method is more
accurate than Improved Euler method but the Runge-Kutta Fehlberg method is slightly
more accurate than Runge-Kutta forth order method.the Runge-Kutta Fehlberg method
is a computational time very similar, slightly more accurate results with a much lower
number of discretization steps, But the additional computational cost per step.
