1. Solve the diffusion equation on half-line and express the answer in terms of the error function: ut = kuxx, x≥0 u(0,t) = 1, u(x, 0) = = 0, [1, x > 1 Jo, 0 ≤ x ≤1
1. Solve the diffusion equation on half-line and express the answer in terms of the error function: ut = kuxx, x≥0 u(0,t) = 1, u(x, 0) = = 0, [1, x > 1 Jo, 0 ≤ x ≤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:1. Solve the diffusion equation on half-line and express the answer in terms
of the error function:
ut =
kuxx, x≥0
u(0,t) = 1,
u(x, 0) =
=
0,
[1, x > 1
Jo, 0 ≤ x ≤1
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