Fourier Transform
Fourier Transform
(OP)
How should I solve a heat transfer equation in elliptic region by Fourier Transform method?
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RE: Fourier Transform
RE: Fourier Transform
RE: Fourier Transform
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RE: Fourier Transform
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RE: Fourier Transform
Carslaw and Yeager might be a good start. the expansions are not limited to trig expansions and are more generally classified as integral methods.
RE: Fourier Transform
you have x and y positions for the ellipse based off of a starting point (Xs,Ys), size factors (a,b), and angles (alpha and beta)
assuming you have initial values and boundaries, use your formula for the x and y positions for the ellipse and the above formula for heat transfer and using cos/sin series you can come up with the formula for both (T(x) and T(y)) and solve using ure Initial values and boundary equations (after some fun and a ridiculous amount of math) to solve for the unknown constants.....