Art Kalb

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13 years, 318 days

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These are questions asked by Art Kalb

I am trying to get a solution to the heat equation with multiple boundary conditions.

Most of them work but I am having trouble with two things: a Robin boundary condition and initial conditions.

First, here are my equations that work:

returns a solution (actually two including u(x,y,z,t)=0).


However, when I try to add:



I no longer get a solution.


Any guidance would be appreciated.




I have uploaded a worksheet with the equations...


I have defined my own function to implement inverse erf. I am trying to extend Maple so it recognizes basic identities. For example, I would like to Maple to simplify InverseErf(erf(x)) to x when x is real. I've used the following code in a module, but it doesn't seem to work (the evalf does work). Any suggestions?

ModuleLoad := proc()
global `evalf/InverseErf`;
global `erf/InverseErf`;
global `InverseErf/erf`;
`evalf/InverseErf` := proc(x)
local y,z;



Is there a way to generate Java or C code to implement a general nth order linear ordinary differential equation?

I am looking to be able to send the coefficients and have it compute the time waveform given initial conditions.




I was wondering if anyone has suggestions how to get answer to this integral?

I know how to do a discrete approximation, but I am looking for the closed form.


c>0. n is an integer>0. If someone knows how to do specific values of n, that would be interesting too!

Also, replacing the Chebyshev function by a monomial in x (i.e. x^n) would be equivalent.





I am trying to plot in Maple 16 (just installed) and I am getting text output. Maple 15 worked just fine.

Anyone have ideas?




> plot3d(x^2-y^2, x = -2 .. 2, y = -2 .. 2);


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