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

[José A. V. R. <jos...@gm...>]

Just an update, to let those interested know that we have uploaded a
preprint with more technical info about our PDEs package to the arXiv:
https://arxiv.org/abs/2004.02604
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 21:23, José A. Vallejo Rodríguez (<
jos...@gm...>) escribió:

> 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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