Institute for
Numerical Simulation

Research Group
M. Griebel

Animated interactive time dependent PDE's in Java

• Heat Equation
• Wave Equation
• Burger's Equation

Some 1D time dependent partial differential equations are solved and displayed online. The user can modify function values and boundary conditions interactively and watch the development immediately. Three types of model equations are implemented. Very basic numerical schemes are used for demonstration purposes. Since Java is meant to be interactive and not that fast, we restrict ourselves to one dimensional examples.

Heat Equation

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Interactive heat equation, u_t = u_xx
Heat equation (temperature flux on a bar), parabolic
Use mouse click & drag to modify values and boundary conditions.

Wave Equation

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Interactive wave equation, u_tt = u_xx
Wave equation (string of a violin), hyperbolic
Use mouse click & drag to modify values and boundary conditions.

Burger's Equation

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Interactive Burger's equation, u_t + u u_x = 0
Burger's equation (a street traffic model), hyperbolic
Use mouse click & drag to modify values.