Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.

Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.

Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.

Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sech-form long waves.

Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.

Solves partial differential equations numerically by finite element analysis for use in such problems as heat transfer, reaction diffusion, solid and fluid mechanics, electromagnetics, groundwater flow, and quantum mechanics.

An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format.

An overview of partial differential equations and their physical applications.

A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.

A set of lecture notes on Green's functions and their applications.