Solve the following IBVP: Ut = Urr, 0 0, u(0, t) = 1, u(1, t) = t, t > 0, u(x, 0) = 1 + sin(x) - x, for x = [0, 1). E
Solve the following IBVP: Ut = Urr, 0 0, u(0, t) = 1, u(1, t) = t, t > 0, u(x, 0) = 1 + sin(x) - x, for x = [0, 1). E
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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2. Solve the following IBVP:
ut = uxx, 0 < x < 1, t > 0,
u(0, t) = 1, u(1, t) = t, t > 0,
u(x, 0) = 1 + sin(πx) − x, for x ∈ [0, 1).
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