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Home > Science > Math > Differential Equations
Directory of Web Resources @ Expo Central : Differential Equations

Science > Math > Differential Equations : Categories


Science > Math > Differential Equations : Web Resources



Science > Math > Differential Equations : Web-Sites


1. Analytic Solution for the Burgers Equation [ Report dead link ]
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
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2. Analytical solution for the Korteweg-de Vries equation [ Report dead link ]
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
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3. arXiv Front: AP Analysis of PDEs [ Report dead link ]
PDEs section of the mathematics e-print arXiv.
http://front.math.ucdavis.edu/math.AP
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4. Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses [ Report dead link ]
Online course material
http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
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5. C*ODE*E Archive [ Report dead link ]
Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
http://www.math.hmc.edu/codee/
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6. Computational PDEs Unit [ Report dead link ]
School of Computing, University of Leeds. Research details, publications, software and resources.
http://www.scs.leeds.ac.uk/cpde/
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7. Difference Method for Numerical Approximation to Applied Differential Equations. [ Report dead link ]
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
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8. Differential Equations in Banach Algebras [ Report dead link ]
Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
http://www.gwfa.de/math/Fuchs_1996.pdf
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9. Differential Equations in Industry and Commerce [ Report dead link ]
European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
http://www.maths.ox.ac.uk/ociam/TMR/
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10. Elliptic Problems with Concentrated Loading [ Report dead link ]
A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html
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