Derivation of the 1D Wave Equation

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. This video focuses on the derivation of the governing PDE only, other videos in this series discuss how to solve this PDE.

Additional videos in this series:
-Introduction to Partial Differential Equations (https://youtu.be/THjaxvPBGOU)
-Standing Waves Demonstration (https://youtu.be/42WBuhVJ7sA)
-Derivation of the 1D Wave Equation (https://youtu.be/IAut5Y-Ns7g)
-Solving the 1D Wave Equation (https://youtu.be/lMRnTd8yLeY)
-Heat Transfer Demonstration (https://youtu.be/FsLFZT44l48)
-Derivation of the Heat Equation (https://youtu.be/ixsRJPlO_rc)
-Solving the 1D Heat Equation (https://youtu.be/I3jiMhVGmcg)
-Derivation and Solution of Laplace’s Equation (https://youtu.be/GCESkCyZt4g)
-Derivation of the 2D Wave Equation (https://youtu.be/KAS7JBztw8E)
-Solving the 2D Wave Equation (https://youtu.be/Whp6jolTu34)
-Numerically Solving Partial Differential Equations (https://youtu.be/ZSNl5crAvsw)

Associated videos on software tools relevant to PDEs include:
-Creating Movies and Animations in Mathematica (https://youtu.be/S03e6dwM100)
-Creating Movies and Animations in Matlab (https://youtu.be/3I1_5M7Okqo)

You can see all the videos related to partial differential equations at
https://www.youtube.com/playlist?list=PLxdnSsBqCrrFvek-n1MKhFaDARSdKWPnx

Видео Derivation of the 1D Wave Equation канала Christopher Lum