In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solve the resulting partial differential equation using separation of variables.
Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/main/PDEs07
All partial differential equation videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrFvek-n1MKhFaDARSdKWPnx)
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 support this channel via Patreon at https://www.patreon.com/christopherwlum or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!