ди at əx²* (a) Analyse the temperature distribution of all interior nodes in the copper cable wire by using อน an explicit finite-difference method of the heat equation, = 1.1819. The cable has a length (x) of 18 cm, and the length interval (h = Ax) is given by 6 cm, which consists of four (4) nodes starting from 0 cm to 18 cm. The boundary condition for the left end of the cable, u(0, t) is 400 °C; meanwhile, the right end of the cable, u(18, t) is 20 °C. The initial temperature of the cable is u(x, 0) = 20 °C for 6 ≤ x ≤ 18. The time interval (k = At) is 10 s, and the temperature distribution in the cable is examined from t = 0s to t = 30 s.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a)
a²u
ди
at
əx²
Analyse the temperature distribution of all interior nodes in the copper cable wire by using
an explicit finite-difference method of the heat equation, = 1.1819 The cable has a
length (x) of 18 cm, and the length interval (h = Ax) is given by 6 cm, which consists of
four (4) nodes starting from 0 cm to 18 cm. The boundary condition for the left end of the
cable, u(0, t) is 400 °C; meanwhile, the right end of the cable, u(18, t) is 20 °C. The initial
temperature of the cable is u(x, 0): = 20 °C for 6 ≤ x ≤ 18. The time interval (k = At)
is 10 s, and the temperature distribution in the cable is examined from t = 0s to t = 30 s.
Transcribed Image Text:Q4 (a) a²u ди at əx² Analyse the temperature distribution of all interior nodes in the copper cable wire by using an explicit finite-difference method of the heat equation, = 1.1819 The cable has a length (x) of 18 cm, and the length interval (h = Ax) is given by 6 cm, which consists of four (4) nodes starting from 0 cm to 18 cm. The boundary condition for the left end of the cable, u(0, t) is 400 °C; meanwhile, the right end of the cable, u(18, t) is 20 °C. The initial temperature of the cable is u(x, 0): = 20 °C for 6 ≤ x ≤ 18. The time interval (k = At) is 10 s, and the temperature distribution in the cable is examined from t = 0s to t = 30 s.
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