7.4.5-ODEs: Worked Example--Midpoint 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.

[@himanipandey8932]

Exactly what i needed

[@hamimhabib6737]

thanks man very nicely done. helped a lot.

[@rifqierdi261]

thankyou sir, doakke metnumku sesok ujian iso nggarap slur nyuwun doane yoo suwuuuun

[@greggodonnell6938]

One thing that's greatly confusing to me in the Chapra book. What's the point of approximating the midpoint if you have to evaluate a new point to do so f(t0 + h/2, yo + h/2)?

[@andrewoakes9699]

the formula for k1 appears to be incorrect it should k1 = h*f(xi,yi)

[@kvyi]

It's correct as shown. k1 gets multiplied by h/2 later. It's important to remember that k is an approximation to the slope. Multiplying by h gives the change in y for the interval h.

[@creampuff966]

Very nicely explained thanks!

[@alvy_._ahmed]

thank you thank you so much sir

[@utkuarslan5]

forgot to mention y(0)=1

[@hakansezen2019]

hemen türklüğünü belli etmişsin reis , 2.25 den sonra k1 ve k2 değerlerini x=0 y=1 değerlerine göre buluyor unutmadı yanı

[@GASEMRESHIDAT]

Thx

[@rajatverma1951]

This is correct method of midpoint in numerical methods ??????

[@kvyi]

Yes. See the textbook referenced in the video description for more information, or an appeal to authority if that is what you seek.

[@rajatverma1951]

Jacob Bishop thanks

[@ramblinwreck9693]

thanks!

[@kantagara]

I'm 6.666 viewer, damn :o

[@AhmedKMoustafa2]

long time ago