(a) Using forward (explicit) method for time and central method for x, forward or backward difference methods for boundary conditions. (b) Using the backward (implicit) method for time and central method for x and boundary conditions.
(a) Using forward (explicit) method for time and central method for x, forward or backward difference methods for boundary conditions. (b) Using the backward (implicit) method for time and central method for x and boundary conditions.
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![6. For the following 1D transient heat transfer PDE problem, please write the discretized
equations using finite difference method, where T„is the ambient temperature.
1 дт
0 <x< L, t> 0
ax2
k
əx
-ha(T – T) at x = 0,t > 0
k
= -9, at x = L,t > 0
ax
T = F(x) t = 0,0 < x < L
(a) Using forward (explicit) method for time and central method for x, forward or backward difference
methods for boundary conditions.
(b) Using the backward (implicit) method for time and central method for x and boundary conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4fb233a-c9d0-4b62-a3a3-3f5ee1b6e89a%2F82ff186c-0919-4148-9886-19bdc5bdbc36%2F93q042f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. For the following 1D transient heat transfer PDE problem, please write the discretized
equations using finite difference method, where T„is the ambient temperature.
1 дт
0 <x< L, t> 0
ax2
k
əx
-ha(T – T) at x = 0,t > 0
k
= -9, at x = L,t > 0
ax
T = F(x) t = 0,0 < x < L
(a) Using forward (explicit) method for time and central method for x, forward or backward difference
methods for boundary conditions.
(b) Using the backward (implicit) method for time and central method for x and boundary conditions.
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