Waves: Partial Diff Eq 1.3.5

Waves is an interactive environment designed for exploring graphical solutions to partial differential equations. The Waves platform includes three distinct activities that delve into Fourier series, along with series solutions for both the heat and wave equations.

• Fourier: A valuable tool for visualizing a Fourier series that effectively approximates a periodic function.
• Diffusion: Showcases solutions to the one-dimensional heat equation across space, along with dynamic time evolution animations.
• Waves: Demonstrates solutions to the one-dimensional wave equation in space, offering customization options.

Within each activity, users can define specific boundary and/or initial conditions. The application comes equipped with preloaded examples and enables users to save their work for future analysis purposes. Waves is versatile and can be utilized for homework assignments, in-class exercises, or as part of a research endeavor.