- #1

ChrisHuey

- 4

- 0

Hi All,

For the attached question, I think that substituting theta = 0, I get the Euler method back. If I substitute theta = 1/2, I get the Crank-Nicholson (Modified Euler) method back.

In terms of accuracy, I know this means that Crank-Nicholson is the more accurate method.

I am mostly unsure how to use the ODE to answer the second part of the question. Not really sure what is being asked.

Is anyone able to help with this? It seems a niche, as I can find little on this particular bit in any notes. Took me long enough to even realize I could reduce it using those values for theta.

Thanks.

Chris

For the attached question, I think that substituting theta = 0, I get the Euler method back. If I substitute theta = 1/2, I get the Crank-Nicholson (Modified Euler) method back.

In terms of accuracy, I know this means that Crank-Nicholson is the more accurate method.

I am mostly unsure how to use the ODE to answer the second part of the question. Not really sure what is being asked.

Is anyone able to help with this? It seems a niche, as I can find little on this particular bit in any notes. Took me long enough to even realize I could reduce it using those values for theta.

Thanks.

Chris