(a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at t=0, u= 0 on r = 0 and on z = 1.
(a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at t=0, u= 0 on r = 0 and on z = 1.
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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Use finite Fourier transforms to solve!!
![(a) Use finite Fourier transforms to solve (0<x< 1, t > 0)
Pu
Ər²
subject to
and
²u
Ət²
u=1-r,
du
Ət
= 0 at t=0,
u= 0 on r = 0 and on z = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa52e5c13-ae63-4c89-8471-0652135b05c7%2F3fd23b1d-f14c-4074-a6ba-ce7a97316128%2F0ume86d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Use finite Fourier transforms to solve (0<x< 1, t > 0)
Pu
Ər²
subject to
and
²u
Ət²
u=1-r,
du
Ət
= 0 at t=0,
u= 0 on r = 0 and on z = 1.
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