UWO ORCCA TR-05-02 Summary

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Solving some Delay Differential Equations using Computer Algebra, Heffernan and Corless, original version January 2004, accepted May 2005, to appear June 2006 in the Mathematical Scientist

Abstract: We explore the use of a computer algebra system to solve some very simple linear delay differential equations (DDEs). Though simple, some of these DDEs are useful of themselves, and may also be of use as test problems for more general methods. The solutions methods included in this paper are of interest because they are widely used in studies involving the solution of DDEs and can be easily automated using tools provided by computer algebra. In this paper we give detailed descriptions of the classical method of steps, the Laplace Transform method and a novel Least Squares method, followed by some discussion on the limitions and successes of each.

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