how to solve 5 first order ode using shooting method with 4th order rk method in matlab?

f'''+(m+1)ff''+2m(1-(f'^2))+2λθ=0; (1/Pr)θ''+(m+1)fθ'-(4m-2)f'θ=0 ; subject to the boundary conditions f(0)=f_0, f'(0)=0, θ(0)=1, f'(∞)=1, θ(∞)=0 where Pr= Prandtl Number

[Titus Edelhofer]

This looks somewhat familiar. This thread already talks about the same question:

thread.

Answer 1

[Maurel]

Hello Mr Aruna. You can have a matlab code here Shooting method, for a second order problem. I have recently worked on a similar problem. And this was helpful. In case you did not figure. You can mail me: [e-mail]