Solving PDEs with the Laplace Transform - The Heat Equation

Solving PDEs with the Laplace Transform - The Heat Equation

Steve Brunton via YouTube Direct link

Overview and Problem Setup

1 of 7

1 of 7

Overview and Problem Setup

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Solving PDEs with the Laplace Transform - The Heat Equation

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  1. 1 Overview and Problem Setup
  2. 2 How Classic Methods e.g., Laplace Relate to Modern Problems
  3. 3 Laplace Transform with respect to Time
  4. 4 Solving ODE with Forcing: Homogeneous and Particular Solution
  5. 5 The Particular Solution and Initial Conditions
  6. 6 The Homogeneous Solution and Boundary Conditions
  7. 7 The Solution in Frequency and Time Domains

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