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Heat Equation- Derivation and Equilibrium Solution in 1D - Laplace's Equation

Steve Brunton via YouTube

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This lecture derives the one-dimensional heat equation for temperature in a thin rod from heat-energy conservation and Fourier’s law. It then examines common and insulated boundary conditions and solves the equilibrium case using Laplace’s equation.

Syllabus

Introduction
Heat Equation
Heat Energy
Temperature
Fourier Law
Heat Equation derivation
Discussion
Common boundary conditions
Insulated boundary conditions

Taught by

Steve Brunton

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