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7. Solve the heat equation on the interval (0 ≤ x ≤ 1): Ut = 4uxx u(x, 0) = 1 ur(0,t) = u(1,t) = 0

7. Solve the heat equation on the interval (0 ≤ x ≤ 1): Ut = 4uxx u(x, 0) = 1 ur(0,t) = u(1,t) = 0

Advanced Engineering Mathematics
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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7. Solve the heat equation on the interval (0 ≤ x ≤ 1): ut = 4uxx u(x, 0) = 1 ux (0,t) = u(1, t) = 0
Transcribed Image Text:7. Solve the heat equation on the interval (0 ≤ x ≤ 1): ut = 4uxx u(x, 0) = 1 ux (0,t) = u(1, t) = 0
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