Developing Software for Time-dependent Problems Using the Method of Lines and Differential-.9lge Ic Integrators
نویسنده
چکیده
The method of lines is one of the most powerful tools for the solution of time-dependent coupled ODE/PDE systems. The attraction of this method is that the complex systems of coupled ordinary and partial differential equations arising in mathematical modelling can be solved by using the sophisticated software which has been developed for initial value differential-algebraic equations. The SPRINT software of Berzins, Dew and Furzeland [2] has been developed specifically for the method of lines. This software contains a selection of spatial discretisation methods, time integrators and linear algebra routines. These components together with utility routines for spatial remeshing and discontinuity detection form an open-ended “tool-kit” for the method of lines. The purpose of the paper is to use the SPAINT software to illustrate some of the issues that arise in the use and development of algorithms and software which employs the method of lines.
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تاریخ انتشار 2001