Waves is an interactive environment designed for exploring graphical solutions to partial differential equations. Developed by Tim Lucas, this iPhone application offers three activities that delve into Fourier series and series solutions for the heat and wave equations.

The first activity, Fourier, allows users to plot a Fourier series that provides the best approximation of a periodic function. The second activity, Diffusion, plots solutions to the one-dimensional heat equation in space and animates the time evolution. Lastly, Waves plots solutions to the one-dimensional wave equation in space and provides the option to specify boundary and initial conditions.

Waves comes equipped with built-in examples, allowing users to save their work for future analysis. Whether you're a student looking to complete homework assignments, an educator in need of in-class activities, or a researcher embarking on a new project, Waves offers a versatile platform for exploring partial differential equations.