Necmi
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u'(1-epsilon(u')^2)=-y
uo(1)=0 u1(1)=0
I need solve this problem with mathematica.
uo(1)=0 u1(1)=0
I need solve this problem with mathematica.
The discussion centers on solving a perturbation problem using Mathematica for a thesis in fluid mechanics. The equation presented is u'(1-epsilon(u')^2)=-y, with boundary conditions u0(1)=0 and u1(1)=0. The user has already solved the momentum equation by the perturbation method and seeks assistance in encoding and validating the solution in Mathematica. Clarification on the parameters and functions involved, specifically u, u0, u1, and epsilon, is necessary for further assistance.
PREREQUISITESMechanical engineers, graduate students in fluid mechanics, and researchers looking to implement perturbation methods in Mathematica for thesis or project work.
Necmi said:u'(1-epsilon(u')^2)=-y
uo(1)=0 u1(1)=0
I need solve this problem with mathematica.
Thanks.Are you know perturbation method?Mark Harder said:So, you solved the problem by hand, but you have to do it in MMA, for your thesis? Is that correct? I know a little MMA, and I'm willing to look into it, but I can't read the photos of your solution, so I'm going to need some more information. Reading your original post, it looks like you are working with 4 functions - u, u0, u1 and epsilon. Is that right? It seems a little peculiar to me. A more explicit problem statement would be helpful.