Use Fourier Series to solve the boundary value problem. Ut = 5uxx uz (0, t) = 0 and ux (2, t) = 0 if t>0 u (x, 0) = = x (x-4) u (x, t) = = + if 0
Use Fourier Series to solve the boundary value problem. Ut = 5uxx uz (0, t) = 0 and ux (2, t) = 0 if t>0 u (x, 0) = = x (x-4) u (x, t) = = + if 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use Fourier Series to solve the boundary value problem.
{
5Uxx
ux (0,t) = 0 and ux (2, t) = 0 if t>0
Ux
Ut =
u (x, 0) = x (x - 4)
u (x, t) =
=
+
n=1
if 0<x<2 and
if 0≤x≤2
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