Solving the 1-D Heat/Diffusion PDE by Separation of Variables (Part 1/2) @FacultyofKhan

Uploaded August 2016 | Updated September 2026, 2 weeks ago

In this video, I introduce the concept of separation of variables and use it to solve an initial-boundary value problem consisting of the 1-D heat equation and a couple of homogenous Dirichlet boundary conditions.

Questions? Ask in the comments!

Prereqs: My ODEs stuff, and the PDEs stuff I've covered up till now.

Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMY19ZT0xnbU9meGM/view?usp=sharing&resourcekey=0-F_9_8VLdJsZlNpSMqw9TQQ

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Solving the 1-D Heat/Diffusion PDE by Separation of Variables (Part 1/2)

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The Faculty of Khans 10,000 subscriber Q and A!

$Introducing Weird Differential Equations: Delay, Fractional, Integro, Stochastic! A brief standalone video that introduces weird types of differential equations, where weird means differential equations that arent conventionally taught unless you get to super specialized areas. Here, they include delay differential equations, integro-differential equations, stochastic differential equations, and fractional differential equations. Questions/requests? Let me know in the comments! Pre-requisites: know what a differential equation is (so basically 1st year undergrad calculus should be more than enough). Lecture Notes: https://drive.google.com/file/d/1zufFLUeUVR6NZqb0MHCQWlnN_6SpOqIb/view?usp=sharing Patreon: https://www.patreon.com/user?u=4354534 Twitter: https://twitter.com/FacultyOfKhan Special thanks to my Patrons for supporting me at the $5 level or higher: Aaron Kaw Cesar Garza Daigo Saito Alvin Barnabas Patapom Damjan Yenyo Pal Lisa Bouchard Gabriel Sommer Eugene Bulkin Rene Gastelumendi Nicholas Chowdhury Borgeth Jose Antonio Sanchez-Migallon$

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