Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: Ut - 5ux = 0 (0
Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: Ut - 5ux = 0 (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:Example 4.14. Set up the Numerical Method for solving the following
PDE and complete the table below::
Ut - 5ux = 0
(0 <x < 1) (t> 0)
%3D
u(0, t) = 0
u(1, t) = 0
u(x,0) = x²(x – 1)
t2 = 0.1
t1 = 0.05
to = 0
t/x
Xo = 0
X1 = 0.25
X2 = 0.5
X3 = 0.75
X4 = 1
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