9. The partial differential equation of the temperature in a long thin rod is given by aT a2T at node 0 T-80 C T-20 °C 9em The initial temperature of the rod is u(x,0) = 30°C, and the rod is divided into 3 equal ments. Find the temperature at node 1 and 2 using (Ax = 3cm and At = 0.1s ) by using explicit hod.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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9. The partial differential equation of the temperature in a long thin rod is given by
aT
%3D
at
node=0
T=80 °C
T 20°C
9cm
The initial temperature of the rod is u(x.0) = 30°C, and the rod is divided into 3 equal
= 3cm and At = 0.1s ) by using explicit
segments. Find the temperature at node 1 and 2 using (Ax
method.
Transcribed Image Text:9. The partial differential equation of the temperature in a long thin rod is given by aT %3D at node=0 T=80 °C T 20°C 9cm The initial temperature of the rod is u(x.0) = 30°C, and the rod is divided into 3 equal = 3cm and At = 0.1s ) by using explicit segments. Find the temperature at node 1 and 2 using (Ax method.
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