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Graduate How Do You Solve the Polar Boundary Value Problem in Sturm-Liouville Form?
I want to solve the boundary value problem: Laplace's equation for u(r, theta) = 0, 1 < r < 2, 0 < theta < a (i) ur(1,theta) = 0 (ii) ur(2,theta) = 0 (iii) u(r,0) = 0 (iv) u(r,a) = f(r) I let u(r,theta) = R(r)M(theta) and plug this into the DE. It's too tough...- PvtBillPilgri
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- Forum: Differential Equations