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Question: Laplace’s Equation confined to a circle

Wednesday, 26 of March , 2008 at 1:04 pm

Question: Solve Laplace’s equation inside a circle of radius a.

\nabla ^2 u = \frac{1}{r} \frac{\partial}{\partial r}(r \frac{\partial u}{\partial r}) + \frac{1}{r^2}\frac{\partial^2 u}{\partial \theta^2} = 0

Category: Differential Equations, Questions

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