Chapter 08.04: Lesson: Runge Kutta 4th Order Method: Formulas

[@asfaquekhan6614]

at the k2 part...why there is (y+k1*h/2)....most of the books don't have that h part

[@numericalmethodsguy]

Asfaque Khan The formula may look like y(i+1)=y(i)+(k1+.........)*h Some people write it is y(i+1)=y(i)+(k1p+.........) Both are right as the h is bundled with k1 as k1p=k1*h.

[@asfaquekhan6614]

oh..right!! got it...thanks sir for such early reply☺

[@louiebarrett5280]

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[@danezechariah8257]

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[@shristithakur5107]

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[@juanmontalvo5791]

This guy teaches way better than my worthless numerical methods professor at UTPA. I don't understand how my professor even got hired or how he gets such good scores on his course evaluations.

[@vladishta]

just a heads up, for the third derivative in the Taylor series expansion, you have dx^2 in the denominator

[@numericalmethodsguy]

@yousafkazmi The formula may look like y(i+1)=y(i)+(k1+.........)*h Some people write it is y(i+1)=y(i)+(k1p+.........) Both are right as the h is bundled with k1 as k1p=k1*h.

[@SEPHi27.]

Thank you for the explanations.

[@ashidilkhan]

elegant explanation

[@numericalmethodsguy]

Yes, you can.

[@iteeshaashwath1657]

In deriving Runge-Kutta method of 4th order, how many unknown coefficients are involved originally and how many equations you get to find the values of these unknown coefficients? Hence how many coefficients can be chosen arbitrarily?

[@pydamma]

for solving higher oder derivatives can we apply heuns method that i learnt from this video link nmmathforcollege

[@skeeeeeeeert]

i love you sir!

[@seanpo03]

Hello, how do you alter this formula to calculate a second order differential equation?

[@sumitshrestha3261]

Can you please explain why is it called the 4th order as the order of the derivative in the equation is one?

[@numericalmethodsguy]

4th order as it uses up to 4th derivative terms in Taylor series.

[@IceyJunior]

can you show the proof ?

[@askfskpsk]

I think the subscript of derivatives should be x(i) when y(i+1) is expanded with Taylor series.

[@fjskfjdkdksofk]

fucking fucking fuxking fuxking fucjing helpful!! regression interpolation derivative just everything

[@zulfiqarali-zq1rg]

how we find values of coffiecnts a1,a2,,...?

[@shazianaz5584]

Need solution of 2nd order differentia equation by 4th order RK and e examples too

[@numericalmethodsguy]

Go to nm(dot)mathforcollege(dot)com and click on Keyword. Click on Higher Order Differential Equations. See the last three video lectures in sequence.

[@kingstup]

derivate where you are and where you want to go

[@Hygiene11]

Vielen Dank

[@fanicia42]

im having the same problem. if you figure it out then let me know :P

[@SoloModz99]

i learned this in 1st grade

[@numericalmethodsguy]

Good for you. Time to learn 2nd grade stuff.