Plot the solution of the IBVP u(x, t) = Such that 8 T Σ k=1 1 (2k-1)³ e-3(2k-1)t sin((2k-1)x x = 0: π k = 1,2,3,...,10 t = 0,1,2,3,4 By using matlab code in (x-u) plane with t = 0,1,2,3,4 Use truncated solution k = 1,2,3,...,10

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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U₁ = 3Uzz!
u(x,0) = x(x - 2),
u(0,t)= u(n, t) = 0.
Plot the solution of the IBVP
u(x, t)
Such that
8
==
T
Σ
k=1
1
(2k-1)³
,-3(2k-1)t
x = 0: π
sin((2k-1)x))
k = 1,2,3,...,10
t = 0,1,2,3,4
By using matlab code in (x-u) plane with t = 0,1,2,3,4
Use truncated solution k = 1,2,3,...,10
Transcribed Image Text:U₁ = 3Uzz! u(x,0) = x(x - 2), u(0,t)= u(n, t) = 0. Plot the solution of the IBVP u(x, t) Such that 8 == T Σ k=1 1 (2k-1)³ ,-3(2k-1)t x = 0: π sin((2k-1)x)) k = 1,2,3,...,10 t = 0,1,2,3,4 By using matlab code in (x-u) plane with t = 0,1,2,3,4 Use truncated solution k = 1,2,3,...,10
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