CONVODE

The package CONVODE is written in REDUCE in order to solve ordinary differential equations (ODE), partial differential equations (PDE), systems and so on...

The package CONVODE may be used via E-mail.

The idea is very simple. You write a small file with the relevant data and send it to:

convode@riemann.physmath.fundp.ac.be

(If your mailing system has an automatic "Header and signature", remove it before sending your mail.)

After a few minutes, you will receive a New-mail from CONVODE.

This mail not only contains the solution, but also a full description of the way followed by CONVODE to provide this solution.

As you will see, CONVODE is searching for a property of the submitted equation allowing its integration and so on and so on....

For details about the data, see the web page: http://www.physique.fundp.ac.be/administration/convode.html

Here after I have written an example of file for solving an ODE. Send this file to the above address of CONVODE and wait for a "new mail from CONVODE".

In this example, the unknown is Y (depending of X), the independant variable is X and the equation to be solved is typed in the list L1. (REDUCE syntax of course)

%%%%% beginning of the E-Mail %%%%% NMAX:=1; SMAX:=2; ARGSTOP:=1; LPARTI:={}; DEPEND Y,X; L1:={DF(Y,X)+Y**2=X**(-8/5)}; L2:={Y}; L3:={X}; L4:={}; L5:={}; CONVODE(L1,L2,L3,L4,L5); %%%%% end of the E-Mail %%%%%

Motion of an electric charge computed with CONVODE.

Dr Alain Moussiaux
University of Namur
Rue de Bruxelles 61
B-5000 Namur
Belgium
Email: alain.moussiaux@fundp.ac.be
Telephone: +32 81 724701 (direct)
Fax:       +32 81 724707 (dept.)