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"Medium2D" - a html5-programm for PCs, tables or smartphones - offers various options to study waves.
The calculations are based on a numerical procedure called "Finite-Difference Method" (FDM).

Waves, created by different sources and for specific field structures, can be examined.

Also modelling is possible. The numerical procedure can be varied. - Even simulating the heat equation is possible.
(For that, basic knowledge about JavaScript is helpful, but not really necessary for some simple variations.)

First, have a look at some videoclisp / animated gifs created by Medium2D. (Click on the animation to see more.)