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New options to visualize systems of differential equations in Maple. (English) Zbl 1107.65059
Kotsireas, Ilias S. (ed.), Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17–21, 2005.With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft (ISBN 1-894511-85-9/pbk). 439-450 (2005).
Summary: The DEplot command in Maple is used to show the direction field and solution curves of a differential equation or system of differential equations. We present new options created for the DEplot command for enhancing the visualization of a direction field and for animating a direction field and the solution curves in time.
We present a new Maplet DEplotlet(DEplotInteractive), which simplifies the use of the DEplot command. We have also designed a database of different systems of differential equations which can be easily modified by the instructor. The database includes the Lotka-Volterra predator-prey system and the Kermack-McKendric epidemic model. It includes default choices for the parameters and for initial values so that the instructor and student can obtain a good plot with a single mouse click.
For the entire collection see [Zbl 1099.65002].
MSC:
65L05 Numerical methods for initial value problems
34A34 Nonlinear ordinary differential equations and systems, general theory
68W30 Symbolic computation and algebraic computation
92D25 Population dynamics (general)
92D30 Epidemiology
Software:
DEplotlet; Maple; Maplet
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