Unformatted text preview: φ = − λφ subject to φ (0) = φ (2 π ) φ (0) = φ (2 π ) 4. Solve Laplace’s equation inside a wedge of radius a and angle α , ∇ 2 u = 1 r ∂ ∂r r ∂u ∂r ! + 1 r 2 ∂ 2 u ∂θ 2 = 0 subject to u ( a, θ ) = f ( θ ) , u ( r, 0) = u θ ( r, α ) = 0 . 47...
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 Fall '08
 BELL,D
 Boundary value problem, Solve, Several Problems

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