Partial Differential Equation (PDE) Software For Octave

Currently there are only a few packages here. I am planning on working and developing more as I have time. Please email if you know of some specific package you would like to see. In addition, please email me if you know of another package that I have not included. I'm always interested in learning about other codes (see the bottom for a list of code I have not been able to find).

These packages are listed chronologically i.e. when they were first described in the literature.

Parabolic/Hyperbolic One Dimensional Partial Differential Equations (using the numerical method of lines)
- PDEONE coupled with a Runge Kutta Chebyshev ODE integrator
- MOL1D (In progress!!!)
- PDECOL
Parabolic/Hyperbolic Two Dimensional Equations
- PDETWO
Two Dimensional Elliptic Equations
- HWSCRT: Solve the Helmholtz or Poisson equation in two dimensions in Cartesian coordinates.
- HWSPLR: Solve the Helmholtz or Poisson equation in polar coordinates. (please me on this if you can!!!)

In addition, there have been published FORTRAN packages for solving partial differential equations that I have been unable to find. I would be interested in trying to convert these packages into core computational routines that octave could call if I could find out more information about them. Specifically I would love any information (especially source code if it exists anywhere) on the following programs/packages.

LEANS
Schiesser, W. E. A digital simulation system for mixed ordinary/partial differential equation models
Proc. IFAC Sym. Digital Simulation of Continuous Process, Vol. 2 Gyor Hungary,
September 1971, pp. 52-1-52-9
DSS
Zellner, M. G. DSS-distributed system simulator.
Ph.D. dissertation, Lehigh Univ.,
Bethlehem, Pa. June 1970
FORSIM
Carver, M. B. FORSIM: A Fortran-oriented simulation package for the
automated solution of partial and ordinary differential equation systems
Rep. AECL-4608, Atomic Energy of Canada, Ltd.
Chalk River, Ont. Canada, 1973
DISPL
Leaf, G.k., Minkoff, M., Byrne, G. D. Sorensen, D. Bleakney, T., and Saltzman, J.
DISPL: A software package for one and two spatially dimensioned kinetics-diffusion problems
Rep. ANL-77-12, Argonne National Lab., May 1977

Also, please bring to my attention any packages I may have over looked.

John Weatherwax

Last modified: Tue Sep 26 20:19:38 EDT 2006