Can anyone help me with a code for Runge-Kutta 4th Order for 3 coupled equations?

Question

Vineet Patel 2018-11-3

回答： Prakhar Jain 2018-11-12

Hi All,

I need help with writing a code for Runge-Kutta 4th order equations.

The 3 equations are:

y_1' = -y_2 - y_3

y_2' = y_1 + (k_1 + y_2)

y_3' = k_2 + y_3(y_1 - k_3)

with initials of:

k_1 = k_2 = 0.2

k_3 = 5.7

Any help would be extremely appreciated.

Thank you

John D'Errico 2018-11-4

Why not try it? Read the help and examples for ODE45. Or, are you asking someone to write a Runge-Kutta code for you?

If you insist, then why not look on the file exchange? Surely you can find some code there.

Answer 1

Prakhar Jain 2018-11-12

Hi Vineet,

You can start learning from here and how to code for Runge-kutta 4th order.

You can also compare your answer with the ODE45 in MATLAB.

Also, refer this file exchange link for further assistance.

Thanks.