Introducing the Wave Equation: Derivation and Intuition

Опубликовано: 29 Сентябрь 2024
на канале: Faculty of Khan
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In this video, I introduce the Wave Equation. I carry out a derivation of the Wave Equation for a 1-D string by using force balances and applying a small amplitude approximation. I also give some of the intuition of the wave equation to give a better idea of what it means, kind of like what I did with the Heat Equation here:    • Introducing Parabolic PDEs (1-D Heat/...  

Questions/requests? Let me know in the comments!

Prereqs: The first two videos in this playlist help because you obviously have to know what PDEs/Partial Derivatives are, but not much background Math is necessary:    • Partial Differential Equations  

Lecture Notes: https://drive.google.com/file/d/0BzC4...
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Twitter:   / facultyofkhan  

Special thanks to my Patrons: Jacob Soares