Dr. Neil Balmforth
COURSES
Applied PDEs
This course provides an introduction to practical analytical solution
methods for PDEs.
The syllabus:
I. Review of methods for ODEs and series solutions
II. PDEs and canonical examples
III. Separation of variables and Fourier series
IV. Boundary-value problems and Sturm-Liouville theory
Office hours: MWF at 2pm
Assessment will involve coursework (homework problems) and examination.
Recommended text:
Boyce and DiPrima,
``Elementary differential equations and boundary value problems''
Assignment 2 plus solutions
Assignment 3 plus solutions.
(p. 283, ex. 1; p. 291, ex. 1)
Notes on finite differences
Numerical solution to extra credit question
Assignment 4 plus solutions
(p. 628, ex. 1; p. 638, ex. 2; p. 647, ex. 1)
Assignment 5 plus solutions
(p. 635, ex. 1; Prof. Peirce's lecture notes 17-19)
Midterm plus solutions
Assignment 6 plus solutions
A Matlab code solving the diffusion equation and comparing the solution with one derived by separating variables
Output picture
Assignment 7 plus solutions
The Assignments are not the same as in Dr. Peirce's section. The pages and examples listed in parentheses correspond to relevant worked problems in the textbook.
Midterm exam: October 15th
Useful practice assigment and exam questions can be found in the textbook and on Dr. Peirce's course webpage