Re: [Maxima-discuss] Partial Differential Equations in Maxima

[José A. V. R. <jos...@gm...>]

Thanks for your interest. Everything is in the GitHub page
https://github.com/emmanuelroque/pdefourier
In fact, piecewise.mac is called from pdefourier.mac
All the best,
_____________________________________
José Antonio Vallejo
Faculty of Sciences
State University of San Luis Potosi (Mexico)
http://galia.fc.uaslp.mx/~jvallejo
_____________________________________


El jue., 2 abr. 2020 a las 19:35, Daniel Volinski via Maxima-discuss (<
max...@li...>) escribió:

> I second that, such package was sorely needed.
>
> Could you please tell me where can I get the companion package called
> 'piecewise'?
>
> Thanks,
>
> Daniel Volinski.
>
> En jueves, 2 de abril de 2020 19:29:42 GMT+3, Alfonso <
> alf...@gm...> escribió:
>
>
> This is really fantastic! Thank you very much!
>
> Alfonso
> On 02-04-20 12:50, José A. Vallejo Rodríguez wrote:
>
> Dear all:
> As far as we know, there is no package in Maxima devoted to the solution
> of partial differential equations or, more generally, the Fourier
> development of piecewise-defined functions (yes, there is the package
> 'fourie', which is very, very limited).
> We have written one such package, called 'pdefourier'. It is available at
> GitHub:
> https://github.com/emmanuelroque/pdefourier
> It comes with full documentation and lots of examples. Among other things,
> the package can:
> * Compute the Fourier coefficients or arbitrary piecewise-functions
> (indeed, there is a companion package called 'piecewise' for dealing with
> that kind of functions).
> * Compute the whole Fourier series of piecewise-defined functions in
> symbolic form, over arbitrary intervals
> * Compute the truncated Fourier series, for graphical representations
> * Solve the general regular Sturm-Liouville for the second-order linear
> parabolic equation with constant coefficients (including the heat equation,
> advection-difussion equation, and the like) in one dimension
> * Solve the general regular Sturm-Liouville problem for the wave equation
> in one and two dimensions (in the latter case, on rectabgular and circular
> domains)
> * Solve the Laplace and Poisson equations (the Laplace equation on
> rectangles, disks, wedges and annuli, the Poisson equation on rectangles
> and disks)
> The GitHub page contains a few examples displayed, but in the
> documentation folder there is a wxm file with many more.
> An interesting feature is that the package is able of solving a lot of
> equations on which Mathematica (versions 12.0 and 12.1) fails, and some for
> which Maple fails too! Also, there are special commands for computing the
> zeros of Bessel functions of the first kind and their derivatives.
> We would like to hear your comments, suggestions, criticisms, etc.
> All the best,
>
> Emmanuel Roque
> José Antonio Vallejo
>
> _____________________________________
> José Antonio Vallejo
> Faculty of Sciences
> State University of San Luis Potosi (Mexico)
> http://galia.fc.uaslp.mx/~jvallejo
> _____________________________________
>
>
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