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From: Torsten Hennig on 19 Apr 2010 22:31
> Given the second order non linear BVP
>
> (ƒ')^n = 1 + γ θ
> …..………………
> 230;…… 1
>
> θ" + (λ +n+1/ 2n +1) ƒ θ' - n (2
> λ +1/2n+ 1) * ƒ' θ = 0
> ………… 2
>
> Prime in the above eqn's describe partial
> differentiation with respect to η
>
> Boundary conditions are
> ƒ (0) = 0, θ'(0) = -1
> ƒ' (∞) = 0, θ(∞) = 0
>
> how to solve the above system of eqn's
> can anyone help me in solving these

Insert f'=(1 + γ θ)^1/n in the second
equation and write the system as

ƒ' = (1 + γ θ1)^(1/n)
θ1' = θ2
θ2' = -((λ +n+1/ 2n +1) ƒ θ2 - n (2λ +1/2n+ 1) *
(1 + γ θ)^1/n θ1 )

Then use bvp4c to solve it.

I suspect that you only need three boundary conditions ;
one seems to be obsolete.

Best wishes
Torsten.
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