MHB Heat equation with annoying source term

tylerbizoff
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Hello to everyone,

I urgently need to solve the following pde: ∂u/∂t +∂²u/∂x² = So*δ(x-xo)*sin(wo*t)

It's the heat equation with a cyclic source. The lentgh of the cable is L.

I have no clue how to do this with such a source, all i have learned was to do a separation of variables, but it does not seem to work in my case.

Anybody can help or has an interesting link for me?
 
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Well, I'm not sure I can help out immediately. However, Carslaw and Jaeger is the standard, comprehensive book on the heat equation, and would be the most likely book to help you out. Check to see if your school's library has it.
 
Are there any good visualization tutorials, written or video, that show graphically how separation of variables works? I particularly have the time-independent Schrodinger Equation in mind. There are hundreds of demonstrations out there which essentially distill to copies of one another. However I am trying to visualize in my mind how this process looks graphically - for example plotting t on one axis and x on the other for f(x,t). I have seen other good visual representations of...
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