Fourier Transform and the Heat Equation - Partial Differential Equations | Lecture 35

Автор: Jason Bramburger

Загружено: 2024-09-24

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Описание: In the previous lecture we learned about the Fourier transform. In this lecture we will now apply this knowledge to the heat equation on an infinite line. In particular, we find the Guassian arising naturally in numerous contexts throughout our study: in the influence function, the fundamental solution to the heat equation, and self-similar solutions. Thus, the importance of the Gaussian and Fourier transform cannot be understated for the heat equation.

Previous discussion of the Fourier transform for diffusion problems: • Modelling Diffusion - Math Modelling | Lec...

Lectures series on differential equations: • Welcome - Ordinary Differential Equations ...

More information on the instructor: https://hybrid.concordia.ca/jbrambur/

Follow @jbramburger7 on Twitter for updates.

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Fourier Transform and the Heat Equation - Partial Differential Equations | Lecture 35

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