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Fourier Transform to Solve PDEs - 1D Heat Equation on Infinite Domain

Steve Brunton via YouTube

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This lecture uses the continuous Fourier transform to solve the one-dimensional heat equation on an infinite domain. It interprets the result as frequency-dependent damping and Gaussian smoothing of an initial temperature distribution.

Syllabus

Introduction
Whiteboard
Fourier Transform
Inverse Fourier Transform
Physical Properties

Taught by

Steve Brunton

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