Simple ODE Solvers
This demonstration illustrates some
simple ODE solvers ,
namely Euler's method, the Improved Euler method and Runge-Kutta.
All are applied to the initial value problem
This equation is exactly soluble, so the exact solution is plotted in light
gray. As well you may select the method you wish to apply by clicking the
"Euler/Improved Euler/Runge-Kutta" button and you may also select the number
of steps used. After doing so click on the "Apply" button. You
may clear the screen by clicking the "Restart" button. You may also "Zoom"
by clicking the left mouse button at any point on the graph. To return to
the original scale, click the "Unzoom" button or click the right mouse
button at any point on the graph.
The demonstration below is an applet. Google Chrome, Firefox, Safari and Microsoft Edge no longer execute applets natively because of security
issues with NPAPI plugins. However applets can be played in the Google Chrome browser by using the
CheerpJ Applet Runner extension.