General Software for Two-Dimensional Nonlinear Partial Differential Equations

@article{Melgaard1981GeneralSF,
  title={General Software for Two-Dimensional Nonlinear Partial Differential Equations},
  author={David K. Melgaard and Richard F. Sincovec},
  journal={ACM Trans. Math. Softw.},
  year={1981},
  volume={7},
  pages={106-125}
}
In this paper we describe a software interface to solve time-dependent coupled systems of nonlinear partial differential equations (PDEs), which are defined over a two-dimensional rectangular rebqon. The software interface employs the method of lines technique whereby centered differencing with respect to the two spatial variables results in a system of time-dependent ordinary differential equations (ODEs), which can then be solved using one of the readily available modern ODE integrators. We… CONTINUE READING