7.4.4-ODEs: Worked Example--Heun's Method

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.

[ThomasTurkington]

Thanks a million, your videos have really helped me... if it wasn't for them I wouldn't be getting through this subject! You have to acknowledge, guys, very few people have uploaded a whole set of videos on the very complicated subject of Numerical Methods, even though there's a few mistakes!

[Quan-Cau]

thank you, may be it 's not really clearly but it also helped me more

[Donniekabab]

Thnx, your video just explained it loud and clear!

[AWand]

Could you post the answer of y2 as you didnt get to it in the video?

[kvyi]

You're right. I correct myself though at 3:56. The 0.25 is still correct, since we have 1+(0-1.5)(0.5) = 0.25.

[Me_w]

I know the video is 3 years old but basically you are just explaining euler's formula in the first part. And the function/2 part 2:39 is actually Heun's Method? You should have explained that in the first part of the video instead of saying it in Euler's. Throughout the whole video the only Heun's method i saw was the title. It might be easier to use Yo, Y1, Y2, Y3. Anyways thanks, I kind of understand.

[lhcoco]

great vid, for some reason I got Y1=09766..., and I followed the step as in your tutorial

[lordleoo]

nice effort, but all of this work is for first order equations, which we can solve at the first place with laplace. i watched the series from the beginning waiting for you to get to higher order equations or non-linear equations =\
anyway, no matter what, your noble effort is appreciated

[MrDaghma]

why did you even put that online !!

I respect you, but you sound uncertain with your example

[der__forschera]

Very boring. You must be sleepy at that time.

[seungjikuk]

you don't know what you are doing.