From: sridhar on
Given the second order non linear BVP

(ƒ')^n = 1 + γ θ …..……………………… 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

can any let me know how the above PDE equations are converted to ODE's
From: Torsten Hennig on
> 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
>

In order to have a PDE, your equation must contain
derivatives with respect to at least two independent
variables.
You say η is one of them. What is the second one,
and where does differentiation with respect to it occur ?

> Boundary conditions are
> ƒ (0) = 0, θ'(0) = -1
> ƒ' (∞) = 0, θ(∞) = 0
>
> can any let me know how the above PDE equations are
> converted to ODE's

Best wishes
Torsten.