7. Solve the following IBVP: Ut=4uzzy 0 0, u, (0, t) = u(2π, t) = 0, t≥ 0, u(x,0)=0, 0≤x≤ 2π, u₁(x, 0) = π, 0≤x≤T 2π-x, π< x≤ 2π

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. Solve the following IBVP:
Uu = 4urz, 0 < x < 2n, t>0,
uz(0, t) = uz(27, t) = 0, t>0,
u(x,0) = 0, 0 <r < 2n,
u (x, 0) =
27 – x, 7 <x< 2n
Transcribed Image Text:7. Solve the following IBVP: Uu = 4urz, 0 < x < 2n, t>0, uz(0, t) = uz(27, t) = 0, t>0, u(x,0) = 0, 0 <r < 2n, u (x, 0) = 27 – x, 7 <x< 2n
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