Consider the heat-conduction/diffusion equation, determining the system of ODES that you would need to solve using the Method of Lines (MOL) and centered finite differences for 10 points (n=10) will generate a system of linear first order differential equations and can be written in matrix form as: (4,(1) u, (t) (-2 1 4, (1) 1 -2 d K =(1)n dt 1 -2 и, () (), 1 .1 -2 Select one: O True O False

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Consider the heat-conduction/diffusion equation, determining the system of ODES that
you would need to solve using the Method of Lines (MOL) and centered finite differences
for 10 points (n=10) will generate a system of linear first order differential equations and
can be written in matrix form as:
(4, (1) (4 (1)
u, (t)
-2
1
1
-2
d
u{t)=
dt
K
1
-2
+
1
и, (1)
1 -2
(4(t),
Select one:
O True
O False
Transcribed Image Text:Consider the heat-conduction/diffusion equation, determining the system of ODES that you would need to solve using the Method of Lines (MOL) and centered finite differences for 10 points (n=10) will generate a system of linear first order differential equations and can be written in matrix form as: (4, (1) (4 (1) u, (t) -2 1 1 -2 d u{t)= dt K 1 -2 + 1 и, (1) 1 -2 (4(t), Select one: O True O False
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