Solving the 2D Wave Equation

In this video, we solve the 2D wave equation. We utilize two successive separation of variables to solve this partial differential equation. Topics discussed in this lesson include but are not limited to:

-Two successive separation of variables
-Double Fourier series

This lesson builds on topics discussed in
-Derivation of the 2D Wave Equation (https://youtu.be/KAS7JBztw8E)
-Solving the 1D Wave Equation (https://youtu.be/lMRnTd8yLeY)

A sample Mathematica notebook that accompanies this tutorial is located at
http://faculty.washington.edu/lum/EducationalVideoFiles/PDEs10/Wave2DSolution.nb.

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)

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)

Видео Solving the 2D Wave Equation канала Christopher Lum