nin rod of length ma material witl cm²/s . e temperature di= ст
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![A thin rod of length, L = 20 cm, was made
from a material with a thermal conductivity, k
= 2 cm2/s .
The temperature distribution in terms of time,
t and position, x is denoted by T(t,x). Consider
the given initial and boundary conditions
T(0, x) = f(x)
Tt, 0) = f(0)
Tt, 20) = f(20)
where f(x) is a piecewise function that
satisfies the following conditions
(20) > f(0) > 0 or f(0) > f(20) > 0.
By using a suitable function f(x) and, the
values of
Ax = 4 cm and At = 2 s, consider TWO (2)
different finite-difference methods to compute
the temperature distribution T(t, x) over the
time interval [O, 4].
Discuss your findings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a920737-72fb-4a1a-9827-cb59e20a3fa2%2F9c48b49e-f214-49dc-81b2-6f3ba00834b7%2Fpxg7ibl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A thin rod of length, L = 20 cm, was made
from a material with a thermal conductivity, k
= 2 cm2/s .
The temperature distribution in terms of time,
t and position, x is denoted by T(t,x). Consider
the given initial and boundary conditions
T(0, x) = f(x)
Tt, 0) = f(0)
Tt, 20) = f(20)
where f(x) is a piecewise function that
satisfies the following conditions
(20) > f(0) > 0 or f(0) > f(20) > 0.
By using a suitable function f(x) and, the
values of
Ax = 4 cm and At = 2 s, consider TWO (2)
different finite-difference methods to compute
the temperature distribution T(t, x) over the
time interval [O, 4].
Discuss your findings.
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