Euler's Method: Derivation

[kanishkagoel17]

Sir, do you have Backwards Euler Method Explained anywhere in your videos? Also thank you for all your videos so far. They have been very helpful.

[harishli2020]

very good explanation.....



[saionjik]

Thanks, I learned this the second time from you. Rasvan didn't spend too much time on this method in beginning DE. :) Interesting topic. Sadly the semester is almost over and I'm no longer motivated to do work in the class because my grade is too good.

[imvolkan]

excellent explanation, simple and plain. Very informative video! Thank you

[o0MetalSnake0o]

dy/dx=x^2*y ; y(0)=1; find y(.6)...this is he problem that i am stuck on, i cant seem to get an approximate value that is close to the Actual value(1.075)

[numericalmethodsguy]

@o0MetalSnake0o First you need to choose a step size. Let's keep it simple as h=0.2. In this case, the intermediate approximate values are y1=1, y2=1.008 and y3=1.04026 at x=0.2, 0.4 and 0.6, respectively. The last value is the approx value of y(0.6) which is within 3.2% of the exact value of 1.07466. Choose a smaller h for better accuracy.

[o0MetalSnake0o]

so would y(1)=y sub 1

[numericalmethodsguy]

@o0MetalSnake0o y sub 1 is y (x1), not y(1). If you are calculating y sub i, the value of y is being calculated at (x sub 0)+i*h.

[urbandiscipline88]

excellent explaination!

[2745Joshadow]

Did I just learn more from this video than my dumbass graduate student "teacher" could ever teach us?

I pay all this money to the university for my teacher's services and this video is basically free... I got ripped off. XD

[yadun1]

Do you have a video for the backward euler integration scheme?

[betul2bosan]

just love the ending ...

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[BluCosmos]

yes great explanation

[ctw005]

amazing teacher

[yellowspottedtoad]

Wow! He is awesome! Very clear when explaining, and his writing is nice :D

[vip1789]

Awesome! - Better than my university lecturer!

[blkscreen15]

thanks for explaining f(x,y) and sometime when you are confused about the smallest thing, its hard to understand other stuff, so this is great and very helpful video.

[Ren520]

thankyou!!! that makes things alot clearer!! =]

[persianqu33n]

that was cool!thanks