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Numerics for PDE using EXCEL

Anthony Peirce Department of Mathematics University of British Columbia. Numerics for PDE using EXCEL. First derivative Approximations. Second derivative Approximation. 1D heat equation. Discrete from of 1D heat equation. Laplace’s Equation. Discretization of Laplace’s Equation.

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Numerics for PDE using EXCEL

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  1. Anthony Peirce Department of Mathematics University of British Columbia Numerics for PDE using EXCEL

  2. First derivative Approximations

  3. Second derivative Approximation

  4. 1D heat equation

  5. Discrete from of 1D heat equation

  6. Laplace’s Equation

  7. Discretization of Laplace’s Equation

  8. Features of point iterative methods Consider solving: By iterating the difference equations: Using Jacobi iteration: Iterate to equilibrium using diffusion equation:

  9. The wave equation

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