Differential Equations
Analytic Solution for the Burgers Equation
Provides the general analytic solution for the Burgers equation in the form of a 4-D commutative hypercomplex function. The solution exhibits the main dynamic features in a Burgers…
Analytical solution for the Korteweg-de Vries equation
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.
arXiv Front: AP Analysis of PDEs
PDEs section of the mathematics e-print arXiv.
Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Online course material
C*ODE*E Archive
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
Computational PDEs Unit
School of Computing, University of Leeds. Research details, publications, software and resources.
Difference Method for Numerical Approximation to Applied Differential Equations.
This page explains how to use the difference formula of differentials to approximate the differential equations for applied systems. This method is used when analytical techniques …
Differential Equations in Banach Algebras
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
Differential Equations in Industry and Commerce
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
Elliptic Problems with Concentrated Loading
A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
Finding Green's Functions for ODEs
A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.
GetDP (a General environment for the treatment of Discrete Problems)
A scientific software environment for the numerical solution of integro-differential equations, open to the coupling of physical problems (electromagnetic, acoustic, thermal, mecha…
Green's Function Theory
A set of lecture notes on Green's functions and their applications.
Introduction to Green's Functions
Green's functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral eq…
Linear Mathematics in Infinite Dimensions
A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
Math Unit III: More on the derivative and differential equations
Exact definition of derivation and calculating the relationship of derivatives of related functions.
MathPages: Calculus and DiffEq Notes
Kevin Brown's compilation of postings including many topics in differential equations.
Navier-Stokes Type Equations
Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.
Nonlinear Differential Equations at Glasgow
The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow, UK, and provides some resources of a general …
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