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

[Daniel V. <dan...@ya...>]

 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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