I am an engineering student and I am having a little difficulty with a bit of exam practice involving solving an ODE with Runge-Kutta. I am able to use both in most examples, but this one is a little different.
Any help you can give me would be amazing, so thanks for anything you can help me with!
over the interval
and with the boundary conditions
I have solved by using an auxhilary equation already, as outlined in the first part of the equation.
The second part of the equation is where I have the trouble with:
"For a system of first order equations on
with initial conditions and , deruve the second order Runge-Kutta method based on using the trapezium rule to give approximations and to and for "
I have devised two first order ODE's:
I think these are correct, but I am unsure on how to use them correctly. Every example we have from class is using a two variable function and I cannot find anything on the internet about it ( maybe using the wrong names ).
I look forward to what you guys have to say, cheers guys.