Solve the following initial and boundary value problem by using the appropriate Fourier Transform: Ut = Uxx, 0 < x < ∞, t > 0 u(0, t) = 0,t> 0 u(x,0) = {² e-2x, 0≤x≤2 x otherwise.
Solve the following initial and boundary value problem by using the appropriate Fourier Transform: Ut = Uxx, 0 < x < ∞, t > 0 u(0, t) = 0,t> 0 u(x,0) = {² e-2x, 0≤x≤2 x otherwise.
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:Solve the following initial and boundary value problem by using the appropriate
Fourier Transform:
Ut = Uxx, 0 < x < ∞, t > 0
u(0, t) = 0,t> 0
u(x,0) = {² e-2x, 0≤x≤2
x otherwise.
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