Ode Solver: Type and Solve an ODE
Pick and drag new initial point in the viewer window. This modifies
the initial x and y values. Initial values of
higher derivative of y can be modified inside the text
field Initial y.
Type a new differential equation. Whenever you type in a text field
press enter to submit your changes. Use keyboard key i
to switch back to mode allowing picking of initial values:
| i | pick initial x
and y values |
The integrator is a fourth-order Runge-Kutta method with constant step size.
Controls in Project Panel:
| ODE text field | Type a new ordinary differential equation.
Higher derivatives of y must be denoted
dy, d2y or d3y. In this text field you
can use all mathematical functions shown in
Expressions.html. |
| Text field "Order" | Defines the order (highest derivative of y)
of the differential equation |
| Slider "Step Size" | Discretization for x-values |
| Slider "Length" | Length of the x-interval to
evaluate the differential equation. |
| Slider "Initial x" | Minimum value for x-interval |
| Text fields "Initial y" | The first text field shows the initial y-value,
the second text field shows the initial value of the first
derivative of y, if "Order" is greater than 2,
further text fields for the higher derivatives are
displayed. |
View source code (for details go to JavaView
tutorial):
PaExprOde.java of applet
PjExprOde.java of project
PjExprOde_IP.java of info panel.