Ms. Tamar Pundik

Time and Place:

יום א 12:00 - 09:00 in צוקר, גולדשטיין-גורן [72] חדר 209

Course topics

  1. Classification of linear Partial Differential Equations of order 2, canonical form.
  2. Fourier series (definition, Fourier theorem, odd and even periodic extensions, derivative, uniform convergence).
  3. Examples: Heat equation (Dirichlet’s and Newman’s problems), Wave equation (mixed type problem), Potential equation on a rectangle.
  4. Superposition of solutions, non-homogeneous equation.
  5. Infinite and semi-infinite Heat equation: Fourier integral, Green’s function. Duhamel’s principle.
  6. Infinite and semi-infinite Wave equation: D’Alembert’s solution.
  7. Potential equation on the disc: Poisson’s formula and solution as series.

University course catalogue: 201.1.9591

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