Hi everybody,

Im trying to solve the following trivial pde using Maple 2018

pdsolve([diff(Y(x, t), t, t) = 0, Y(x, 0) = 0, (D[2](Y))(x, 1) = 0]);

Obviuosly the solution is Y(x, t) = 0, but Mapple 2018 is not giving any answer.

This works in Maple 2015.

Why is not working in Maple 2018?

Thanks,

Javier

Hi everybody,

I am trying to solve a partial differential equation for wich the boundary condition is evaluated at a point which depends on the other variables. When I try the command

pdsolve({diff(u(x, z, t), z)+C = 0, u(x, h(x, t), t) = 0}, u(x, z, t))

I get Error, (in PDEtools:-Library:-NormalizeBoundaryConditions) unexpected occurrence of the variables {t, x} in the 2nd operand of u(x, h(x, t), t) in the given initial conditions.

In my code I can not rename my variables and I need to evaluate z at h(x, t) and obtain a solution as a function of h(x,t). Is the any way to do it? Any solutions?

Thanks a lot for your help,

Javier

Hi Everybody,

I have a simple question: Does Maple solve systems of partial differential equations with boundary conditions?

Can somebody give me an example? 

I have only found numerical solutions to this kind of systems but no symbolic example.

Thanks a lot for yor help.

Hello,

I am trying to solve analytically a simple system of partial differential equations with boundary conditions and I am not able to do it. Even in the very simple case of

pdsolve([diff(u(x, y, t), y, y) = 0, diff(p(x, y, t), y) = 0, u(x, 0, t) = 1, (D[2](u))(x, 1, t) = 0, p(x, 1, t) = 2], [p(x, y, t), u(x, y, t)]);

I don't get any answer.  However if I remove the boundary conditions I get the right answer

pdsolve([diff(u(x, y, t), y, y) = 0, diff(p(x, y, t), y) = 0], [{p(x, y, t), u(x, y, t)}]);
 {p(x, y, t) = _F3(x, t), u(x, y, t) = _F1(x, t) y + _F2(x, t)}

Can maple 2015 solve analytically systems of partial differential equations with boundary conditions? I have not been able to find any example anywhere.

Thanks a lot for your help.

Javier

Hi,

Why pdsolve is not correctly solving the following

where I get    

but it is correctly solving the next one

where I get ???

I see that it is due to the fact that the variable x is multiplied by a constant, but why is not maple able to manage that?

Thanks for your help,

Javier