Dr. Neil Balmforth

Applied PDEs

This course provides an introduction to practical analytical solution methods for PDEs.

The syllabus:
I. Separation of variables
II. Fourier series and Sturm-Liouville problems
III. Orthogonal polynomials
IV. Transform methods
V. Quasi-linear equations and the method of characteristics

Assessment will involve coursework (homework problems) and examination.

Recommended text:
R. Haberman, ``Applied PDEs''

Assignment 1 - due Jan 24
Assignment 2 and solution
Midterm problems and solution
Useful sections from Haberman's textbook: 2.3, 7.3, 7.7, 7.9
Assignment 3 and solution
Assignment 4 and solutions
Relevant chapters from Haberman's textbook: 7, 10, 12, 13
Sample final questions -- note that the initial condition in (4) should be u(x,0) = -tanh x !!!!!

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