(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by the heat equation as follows. ди 0.5 at Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the initial condition u(x, 0) = x(0.8 – x) for 0 s
(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by the heat equation as follows. ди 0.5 at Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the initial condition u(x, 0) = x(0.8 – x) for 0 s
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:(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by
the heat equation as follows.
ди
0.5
at
Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the
initial condition u(x, 0) = x(0.8 – x) for 0 s<x< 0.8 mm, analyze the temperature
distribution of the rod with 4x
= 0.2 mm and At 0.02 s in 4 decimal places.
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