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