Solve the diffusion equation Ut = kurr, on the half-line 00, with initial and boundary conditions u(x,0) = 0, 0 < x < ; u(0, t) = 1. (Hint: Use v(x, t) = u(x, t) – 1.)
Solve the diffusion equation Ut = kurr, on the half-line 00, with initial and boundary conditions u(x,0) = 0, 0 < x < ; u(0, t) = 1. (Hint: Use v(x, t) = u(x, t) – 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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Transcribed Image Text:Solve the diffusion equation
Ut = kurx,
on the half-line 0<x < ∞, t> 0,
with initial and boundary conditions
u(x, 0) = 0,
0 < x < 0;
u(0, t) = 1.
(Hint: Use v(x, t) = u(x, t) – 1.)
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