Modeling Waves with Numerical Calculations Using Python

Numerical calculations (what many call computational physics) is a core tool in modern physics. With numerical methods it’s possible to solve problems that would otherwise be impossible. Most physics students and educators have at least some exposure to the wave equation. It shows up in many different contexts—light, quantum mechanics, and even a simple wave on a string. However, it can be difficult to come up with non-trivial solutions to the wave equation. This text goes through the techniques to create a numerical model of the wave equation starting from the very basics and using free and open source tools such as Python and Web VPython. In particular, this book shows the following features: - Introduces numerical methods to non-trivial solutions of the wave equation - Uses python as the core tool - Provides understanding of the methods of numerical solutions of differential equations