From: sridhar on 27 Apr 2010 18:30 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 27 Apr 2010 21:58 > 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.
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