Chem Differential Eq HW Solutions Fall 2011 32

Chem Differential Eq HW Solutions Fall 2011 32 - 32 Chapter...

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Unformatted text preview: 32 Chapter 3 Partial Differential Equations in Rectangular Coordinates Clear partsum partsum x_, t_ : 8 Pi ^ 2 Sum Sin 1 ^ k 2 k 1 Pi x Cos 4 2 k Plot Evaluate partsum x, 0 , f x , x, 0, 1 1 Pi t 2k 1 ^ 2, k, 0, 10 Here is the motion in an array. tt Table Plot Evaluate partsum x, t , x, 0, 1 , PlotRange 0, 1 , 1, 1 , .5 , 1, .5, .5, 1 , DisplayFunction Identity , t, 0, 1, 1 20 Ticks Show GraphicsArray Partition tt, 4 1 0.5 1 0.5 1 0.5 1 0.5 -0.5 -1 -0.5 -1 -0.5 -1 -0.5 -1 1 0.5 1 0.5 1 0.5 1 0.5 -0.5 -1 -0.5 -1 -0.5 -1 -0.5 -1 1 0.5 1 0.5 1 0.5 1 0.5 -0.5 -1 -0.5 -1 -0.5 -1 -0.5 -1 1 0.5 1 0.5 1 0.5 1 0.5 -0.5 -1 -0.5 -1 -0.5 -1 -0.5 -1 1 0.5 1 0.5 1 0.5 1 0.5 -0.5 -1 -0.5 -1 -0.5 -1 -0.5 -1 9. The solution is ∞ sin(nπx) (bn cos(nπt) + b∗ sin(nπt)) , n u(x, t) = n=1 ; ...
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This note was uploaded on 12/22/2011 for the course MAP 3305 taught by Professor Stuartchalk during the Fall '11 term at UNF.

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