Question: Cauchy heat problem & Fourier - Please HELP!!!

Hello, guys.

I'm having this assignment in one of my school subjects, but I just can't get it right:

"Program Cauchy's problem for the heat conduction equation on the circle S = {x mod 2*Pi}

ut = uxx , u(0, x) = Phi(x), t > 0, x belongs to S

in Fourier series. Illustrate the solution using 2Dplot."

Because I'm too bad at this material I really don't know what I'm supposed to do. For the past 3 days I've been reading some stuff on the web, but it doesn't seem to help much.

I really hope someone of you guys can figure it out. I hope you will answer me soon.


Jamie, Yorkshire, UK

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