how to solve 6 first order differential equation using shooting method with 4th order Runge Kutta Method?

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

[Torsten]

If I were not forced to solve the above problem by the methods you mention, I'd use MATLAB's bvp4c.

Best wishes

Torsten.

[Aruna P]

can you send me the code for solving by bvp4c?

[Torsten]

Take a look at the examples provided under

http://de.mathworks.com/help/matlab/ref/bvp4c.html

The setup of your problem should be straight forward.

If not, please tell us where you have difficulties.

Best wishes

Torsten.