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High-Precision Approximate Solutions for Nonlinear 2 x 2 Systems of First-Order IVPs with Periodic Solutions

Temple H. Fay
Organization: Technikon Pretoria and the University of Southern Mississippi
Stephan V. Joubert
Organization: Technikon Pretoria, South Africa
Alun J. Peck
Organization: Technikon Pretoria, South Africa

2001 Mathematica Developer Conference
Conference location

Champaign, IL

We provide an interactive routine for producing high-precision approximate solutions (truncated Fourier Series) for low degree nonlinear 2x2 systems of first-order ODEs (IVPs) with periodic solutions. The routine is primarily meant for use in the classroom by undergraduate and graduate students, but might also be usefull to technologists and scientists working with such systems for which no obvious closed-form solution exists.

*Applied Mathematics > Optimization
*Mathematica Technology > Kernel > Numerics
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joubert.nb (149 KB) - Mathematica Notebook

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