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Shiranui June 22, 2010 09:19

Problem with a leapfrog scheme for wave equation

I have coded the 1D acoustical wave equation (actually, I coded the two Euler equations that one must combine to obtain the wave equation) using a finite differences leapfrog scheme (three time steps).

But when I try to excite a resonant mode by implementing a sinusoidal source, one value over two is zero.

For exemple, this is what i obtain for the third mode :

The shape of the signal is correct, the position of the nodes and anti-nodes is good, but where do these oscillations come from ?! Does someone know ? Thanks.


PS : sorry if my english is not perfect because I'm french. I hope my problem was understandable.

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