Mathematica Solve Perturbation problem with mathematica

AI Thread Summary
The discussion revolves around solving a mathematical problem related to fluid mechanics using Mathematica, specifically involving the equation (1-epsilon(u')^2)=-y with boundary conditions u0(1)=0 and u1(1)=0. The original poster, a master's student in mechanical engineering, has already solved the momentum equation using the perturbation method and seeks assistance in encoding and validating this solution in Mathematica. Participants emphasize the need for clarity regarding the parameters involved, such as epsilon, u0, and u1, to provide effective help. There is a request for more detailed context and an explicit problem statement to facilitate understanding and support. The conversation highlights the importance of thorough communication when seeking technical assistance in complex subjects like fluid mechanics.
Necmi
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u'(1-epsilon(u')^2)=-y
uo(1)=0 u1(1)=0
I need solve this problem with mathematica.
 
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Is this homework? In any case, you will probably have to give more details.
 
No its my thesis.İm mechanical engineer.İm doing master on fluid mechanics
 
Can you give even more details? While I may not be the one to be able to help you here, I think that not knowing what ε, u0, u1, etc. represent is going to make it hard for anyone to give you advice.
 
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Necmi said:
u'(1-epsilon(u')^2)=-y
uo(1)=0 u1(1)=0
I need solve this problem with mathematica.
 
I solved the momentum equation of the fluid by perturbation method. I need to encode and validate the solution with mathematica. I used direct expansion in the solution of the perturbation. I want information about the code.
 
Which parameters do you know, what is a function of what, what are uo and u1?

You can’t expect help if you don’t explain the problem sufficiently for others to understand it.
 
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I would like to send you the solution.How do you want to send.Mail ?
 
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  • #11
How to my shares data of the problem ?
 
  • #12
I'm still missing the context, but it is nice if you have the solution now.
 
  • #13
Can you use to mathematica?
 
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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.
 
  • #15
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.
Thanks.Are you know perturbation method?
Yes its required for my thesis.
 

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