PDETWO: Approximation of a PDE in 1 Time and 2 Space Dimensions

TOMS565 is a FORTRAN77 library which approximates a time-dependent partial differential equation (PDE) in two spatial dimensions.

The text of many ACM TOMS algorithms is available online through ACM: or NETLIB:


TOMS565 is available in a FORTRAN77 version.

Related Data and Software:

TOMS494 a FORTRAN77 library which approximates a 1D PDE as a system of ODE's;
this library is commonly called PDEONE;
this is ACM TOMS algorithm 494.


  1. David Melgaard, Richard Sincovec,
    Algorithm 565: PDETWO/PSETM/GEARB: Solution of systems of two-dimensional nonlinear partial differential equations,
    Volume 7, Number 1, March 1981, pages 126-135.

Source Code:

Examples and Tests:

Problem 1 is a simple elliptic equation.

Problem 2 is the Burgers equation.

Problem 3 is a coupled system of PDE's. This problem currently causes the time integrator to fail.

List of Routines:

You can go up one level to the FORTRAN77 source codes.

Last revised on 06 February 2011.