These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.
Пікірлер: 18
@bachpham78489 жыл бұрын
don't mind timmy, you voice flows like the rivers of babylon. thanks for all these vids! my lecturer is unmotivated and presents the course content in the most vague and difficult way to grasp. cheers for these vids you've saved me
@MechanicalEI5 жыл бұрын
Jacob Bishop, Great Video. The illustration and example of the Crank-Nicolson Implicit FDE Method were perfectly supported by your explanation. Thanks for uploading!
@jaco11595 жыл бұрын
Thank you, this was very well explained and clear.
@kvyi10 жыл бұрын
@timmy, Thanks for the suggestion. I agree.
@trillerbearstein39849 жыл бұрын
Just two small corrections: For the implicit and explicit formulas you should have dT/dt = fwd finite divided difference instead of dT/dx2 The last term in the averaged centered divided difference approximation for d2T/dx2 should be Ti-1^L+1 instead of Ti-1^L Great video!
@kvyi9 жыл бұрын
You are correct. Thank you for pointing this out. I wanted to note this with annotations, but youtube doesn't interpret the math right, so...
@engrirfanmahmood9 жыл бұрын
Jacob Bishop and maybe instead of 2 in denominator for Time discretization approximation there should be delta t?
@kvyi9 жыл бұрын
Irfan Mahmood Annotations added. Thanks.
@TusharSharmatushar139928 жыл бұрын
Nicely explained, thnx :)
@VipinP7708A5 жыл бұрын
Hi @Jacob Bishop, just a clarification. So using an initial vector for x for the initial condition, we construct the B vecto (Ax=B) and solve the equation for the first time level. Then we use this solution to construct the B vector for the next time level. Am I correct?
@kinghj38096 жыл бұрын
Thank you sir for this series it's reaaly helpful .. but there is a little bit of mistak in the expression of the second derivitive of "x" .. in the left ..you forgot to put (L+1).. for the last term of expression
@timothymoindi10 жыл бұрын
hey nice video, i would suggest maybe having a script so that it flows better thanks
@Running_into_summer10 ай бұрын
thanks for explanation
@mitarona4506 жыл бұрын
thank you so much
@gabrieldominicbaygan22807 жыл бұрын
Does the Crank-Nicholson scheme always produce a tri-diagonal matrix?
@eskamobob86627 жыл бұрын
yes. It was designed to do so (back in the late 1800s when matrix inversion was horrid to do)