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Deriving the Heat Equation in 2D and 3D and in N Dimensions with Control Volumes and Vector Calculus

Steve Brunton via YouTube

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This short course derives the heat equation in two, three, and N dimensions using control volumes and Gauss’s theorem. It connects surface and volume integrals to partial differential equations.

Syllabus

Deriving the Heat Equation in 2D & 3D (& in N Dimensions!) with Control Volumes and Vector Calculus

Taught by

Steve Brunton

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