Differential Equations Lecture Work Solutions 115

Differential Equations Lecture Work Solutions 115 - u = 0,...

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∂u ∂x =0 ,x =0 ,x = L, ∂u ∂y =0 ,y =0 ,y = L, u ( x, y, W )=0 , u ( x, y, 0) = 4 cos 3 π L x cos 4 π L y. 4. Find the solution to the following steady state heat conduction problem in a box 2 u =0 , 0 x<L , 0 <y<L , 0 <z<W , subject to the boundary conditions ∂u ∂x =0 ,x =0 ,x = L, ∂u ∂y =0 ,y =0 ,y = L, u z ( x, y, W )=0 , u z ( x, y, 0) = 4 cos 3 π L x cos 4 π L y. 5. Solve the heat equation inside a cylinder ∂u
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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