- (a) Solve the heat equation (1) subject to u(0, t) = 0, u(100, t) = 0, t> 0 S0.8x, 0.8(100 – x), 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Computer Lab Assignments
9. (a) Solve the heat equation (1) subject to
u(0, t) = 0, u(100, t) = 0, t> 0
S0.8x,
u(x, 0) = \0,8(100 – x),
0<xs 50
%3D
50 < x< 100.
(b) Use the 3D-plot application of your CAS to graph the
partial sum S3(x, t) consisting of the first five nonzero
terms of the solution in part (a) for 0 <x< 100,
0<t< 200. Assume that k = 1.6352. Experiment with
various three-dimensional viewing perspectives of the
surface (called the ViewPoint option in Mathematica).
Transcribed Image Text:0% 早 Computer Lab Assignments 9. (a) Solve the heat equation (1) subject to u(0, t) = 0, u(100, t) = 0, t> 0 S0.8x, u(x, 0) = \0,8(100 – x), 0<xs 50 %3D 50 < x< 100. (b) Use the 3D-plot application of your CAS to graph the partial sum S3(x, t) consisting of the first five nonzero terms of the solution in part (a) for 0 <x< 100, 0<t< 200. Assume that k = 1.6352. Experiment with various three-dimensional viewing perspectives of the surface (called the ViewPoint option in Mathematica).
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