Which of these equations give the derivative of the function T at time t as given by the Crank-Nicolson scheme?

Question

TuteeHUB · Accepted Answer

$\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}$

TuteeHUB · Answer

$\frac{T(t+\Delta t)-T(t-\Delta t)}{2 \Delta t}$

TuteeHUB · Answer

$\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}$

TuteeHUB · Answer

$\frac{T(t+\Delta t)-T(t-\Delta t)}{\Delta t}$

TuteeHUB · Answer

$\frac{T(t+\Delta t)+T(t-\Delta t)}{\Delta t}$

1.	Which of these equations give the derivative of the function T at time t as given by the Crank-Nicolson scheme?
A.	\(\frac{T(t+\Delta t)-T(t-\Delta t)}{2 \Delta t}\)
B.	\(\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}\)
C.	\(\frac{T(t+\Delta t)-T(t-\Delta t)}{\Delta t}\)
D.	\(\frac{T(t+\Delta t)+T(t-\Delta t)}{\Delta t}\)
Answer» B. \(\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}\)

Discussion