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Jun 16, 2016 at 16:05 vote accept Comic Book Guy
Jun 16, 2016 at 14:09 answer added Willie Wong timeline score: 2
Jun 16, 2016 at 13:51 history edited Willie Wong CC BY-SA 3.0
fixed the stupid way of writing initial conditions
Jun 16, 2016 at 10:49 history edited Comic Book Guy CC BY-SA 3.0
fixed Grammer
Jun 16, 2016 at 10:29 comment added Comic Book Guy @IgorKhavkine, As per your suggestion, I have added the equations corresponding to my problem, Please have a look.
Jun 16, 2016 at 10:28 history edited Comic Book Guy CC BY-SA 3.0
Added the equation details
Jun 16, 2016 at 8:26 comment added Igor Khavkine if you post the equations that you are working with, maybe someone could say something more specific.
Jun 16, 2016 at 7:47 comment added Comic Book Guy @IgorKhavkine, Thank you very much i will try that. I will also very much like to avoid getting the time dependency in there, but without using time as part of the transformation, i can not reduce the pde to such a form.
Jun 16, 2016 at 6:39 comment added Igor Khavkine Keep in mind this kind of separation of variables ansatz doesn't work for all kinds of equations (the equation has to be somehow special). Analogously, the separation of variables ansatz doesn't work for all kinds of boundary conditions (the boundary condition has to be somehow special as well). I think here, you want the boundary conditions on $w(x,t) - Mt-N$ to be independent of $t$. Just a guess, but perhaps you can generalize your ansatz to $w(x,t) = Mt + N + \phi(x) + \psi(x,t)$, where the purpose of $\psi(x,t)$ is precisely to get the boundary conditions into an acceptable form.
Jun 15, 2016 at 23:40 history asked Comic Book Guy CC BY-SA 3.0