User's Guide to a New User-Oriented Subroutine for the Automatic Solution of One-Dimensional Partial Differential Equations.

摘要

A new user-oriented FORTRAN-based subroutine,called SUBROUTINE PDEI,is introduced,which automatically applies the sliding difference method of lines algorithm to user-supplied FORTRAN code which characterizes the user's particular partial differential equation. To use the new subroutine,the user need not have any special knowledge of the complex numerical analysis techniques required to apply this method of lines algorithm to his problem. Furthermore,the user is not,as with earlier programs of this type,constrained by a 'general'equation or 'generalized'boundary conditions but is able to prepare his problem in free form. The subroutine is capable of handling linear,nonlinear,coupled partial differential equations and partial differential equations coupled to ordinary differential equations or any combination of these. Although presently limited to one spatial dimension,work is in progress to extend application of the method to multiple spatial dimensions.