The Wotch Directory

Science > Math > 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 medium: propagation of disturbances, shock waves, propagating state change fronts, and solitons. A page is included to explain the hypercomplex mathematics. http://home.usit.net/~cmdaven/burgers.htm
	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. http://home.usit.net/~cmdaven/korteweg.htm
	arXiv Front: AP Analysis of PDEs PDEs section of the mathematics e-print arXiv. http://front.math.ucdavis.edu/math.AP
	Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Online course material http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
	C*ODE*E Archive Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links. http://www.math.hmc.edu/codee/
	Computational PDEs Unit School of Computing, University of Leeds. Research details, publications, software and resources. http://www.scs.leeds.ac.uk/cpde/
	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 are unavailable or cause computers to spit out garbage. This difference method is very similar to the Runge-Kata and Newton's method. http://www.geocities.com/b_ward.rm/na.html
	Differential Equations in a Nutshell An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf
	Differential Equations in Banach Algebras Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. http://www.gwfa.de/math/Fuchs_1996.pdf