Lawrence F. Shampine,
Southern Methodist University,
Dallas, Texas.

Solving DDEs in Matlab

With the goal of making it as easy as possible to solve a large class of delay differential equations (DDEs), the speaker and S. Thompson of Radford University developed a program, dde23, to solve DDEs with constant delays in Matlab.

The speaker will discuss briefly important differences between DDEs and ODEs and then how numerical methods for ODEs can be extended to solve DDEs. Some examples will show that restricting the class of problems, algorithmic developments, language facilities in Matlab, and design have resulted in a DDE solver that is both very capable and exceptionally easy to use.

The solver, a tutorial that shows how to use it by means of many examples from the literature, and complete solutions of the examples are available at http://www.runet.edu/~thompson/webddes/ .