2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the answer in terms of the error function: ut = kuxx, -1, x<0 u(x, 0) = 1, x>0
2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the answer in terms of the error function: ut = kuxx, -1, x<0 u(x, 0) = 1, x>0
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:2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the
answer in terms of the error function:
ut =
kuxx,
u(x, 0)
=
1.
-1, x <0
',
x>0
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