Chapter 08.03: Lesson: Runge Kutta Second Order Method: Formulas

[@fisaev7996]

God bless you.

[@whynot13]

you are awsome..... i love you... i've been trying to get this for half of the quarter with this subject and i have a final in 1/2 an hr.... and know i get it

[@heminapatel85]

thank you so much for you videos. they helps me so much in my numerical class. also your matlab codes were great help as well.

[@ramsgirl1313]

You've just saved my grade on my Mechanical Engineering final in an hour! THANK YOU! i've been trying to understand this for half a semester!

[@hasanalj]

I just fond your a Derivation video for this method (I'm new to this channel). currently you are one of my favorite teachers :) keep up the good work.

[@lovedeepkaler]

I think that the method you're starting at 3:13 is just regular runge-kutta 2nd order. Because I notice different coefficients for Heun's method in my textbook.

[@hasanalj]

I'm very much interested to see the diversion of the three equations. it mind blowing override the need for finding the 2nd derivativeof 'f'.

[@numericalmethodsguy]

@ryomali I do that all the time myself. It is hilarious. We will be putting captions on by end of June 2012. Stay tuned.

[@lovedeepkaler]

@numericalmethodsguy So a1 = 1/4, a2 = 3/4, p1 = 2/3, q11 = 2/3. Please correct me if I am wrong.

[@calop002]

Really good teacher!!! /Sweden

[@MrBeautyofnature]

great work

[@numericalmethodsguy]

@lovedeepkaler These constants are not right. Just refer to a google search on Heun's method or any classic textbook on Numerical Methods.

[@numericalmethodsguy]

@lovedeepkaler What is given in your textbook? Please let me know!

[@ganeshthapa7543]

how is the equation (a1 +a2 =1 ; a2.p1 =1/2; a2.q11=1/2 ) comes from taylor series

[@numericalmethodsguy]

See Appendix A of mathforcollege.com/nm/mws/gen/08ode/mws_gen_ode_txt_runge2nd.pdf

[@saurabhsharma-pv6fu]

Please help me out for the question.... Q. Solve the following Initial Value Problem using (i)R-K method of 0(h2) (ii) R-K method of 0(h4) y' = 1 2ty, y(0.2) = 0.1948. Find y(0.4) taking h = 0.2, where y' = dy/dt.... I m trying to solve this question for 3 days but i couldn't get it.... Main problem is how to find out k1 = f(xi, fi)... Here what is xi and fi???? Please try to solve this whole question and reply early...... Plzzzzzzzzzz

[@abdullahelkafi6280]

here t is x. so f(xi, yi) becomes f(ti, yi)

[@bikasidas9550]

i think there is something wrong in formula. k2=f(x(i)+ph, y(i)+qk1)

[@numericalmethodsguy]

If there is let me know. Some books treat k1 and k2 not as slopes but as slopes*h. But in the end, they are the same formulas!

[@outlawkelb]

@whynot13 howd that go , haha