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PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

Steve Brunton via YouTube Direct link

Separation of Variables

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Separation of Variables

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PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

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  1. 1 Overview and Problem Setup: Laplace's Equation in 2D
  2. 2 Linear Superposition: Solving a Simpler Problem
  3. 3 Separation of Variables
  4. 4 Reducing the PDE to a system of ODEs
  5. 5 The Solution of the PDE
  6. 6 Recap/Summary of Separation of Variables
  7. 7 Last Boundary Condition & The Fourier Transform

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