18.303 Linear Partial Differential Equations, Fall 2005
Time evolution of the temperature distribution u(x,t) on a semi-infinite rod whose end (at x=0) is kept at 0. Initially (t=0), the temperature of the rod is 1 between x=0.5 and x=1.5, and is zero everywhere else. (Image by Dr. Matthew Hancock.)
Highlights of this Course
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized.
Special software is required to use some of the files in this course: .m.