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.)