دانلود کتاب مدل سازی امواج با محاسبات عددی با استفاده از پایتون

It’s one of the reoccurring mathematical models in physics—waves. Of course you can have a wave on a string or even a two dimensional surface like the head of a drum. Light is also an electromagnetic wave also. In quantum mechanics, we can model the motion of particle with the Schrodinger wave equation (which isn’t the same thing as a wave equation). In one dimension, we can write the wave equation as the following:— Although there are analytical solutions to this equation, there are also countless situations for which the only solution is numerical. Of course that leaves two important questions. What exactly is a numerical solution? How do you create a numerical solution? That’s exactly what will be covered in this book. I’m going to step you through everything you need to know to create numerical solutions of the wave equation. What do you need to know to start this process? I will assume that you have a basic understanding of both physics and differential equations (like the wave equation). However, I will NOT assume you have any previous experience with programming. Yes, in order to create a numerical solution we will need to write some computer code. In this case, we are going to use an online version of python called Web VPython. You can access this using a web browser at https://www.glowscript.org. I’m going to walk you through all the steps starting from scratch.