Analytic Solution for the Burgers Equation « http://home.usit.net/~cmdaven/burgers.htm | | 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 |
Analytical solution for the Korteweg-de Vries equation « http://home.usit.net/~cmdaven/korteweg.htm | | 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 « http://front.math.ucdavis.edu/math.AP | | Pdes section of the mathematics e-print arxiv. |
Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses « http://math.bu.edu/DYSYS/ode-bif/ode-bif.html | | Online course material |
C*ODE*E Archive « http://www.math.hmc.edu/codee/ | | Consortium of ode experiments at harvey mudd college. newsletter , graphics , links. |
Computational PDEs Unit « http://www.scs.leeds.ac.uk/cpde/ | | School of computing , university of leeds. research details , publications , software and resources. |
Difference Method for Numerical Approximation to Applied Differential Equations. « http://www.geocities.com/b_ward.rm/na.html | | 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 met |
Differential Equations in a Nutshell « http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf | | An overview of the terms used , as well as solving general and initial value problems. includes corresponding graphs. |
Differential Equations in Banach Algebras « http://www.gwfa.de/math/Fuchs_1996.pdf | | Fuchsian singularities of linear ordinary differential equations in banach algebras. by gerald albrecht in wuppertal. |
Differential Equations in Industry and Commerce « http://www.maths.ox.ac.uk/ociam/TMR/ | | European tmr network coordinated at the oxford centre for industrial and applied mathematics. |
Elliptic Problems with Concentrated Loading « http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html | | 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 « http://www.mathphysics.com/pde/green/g15.html | | 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) « http://www.geuz.org/getdp/ | | A scientific software environment for the numerical solution of integro-differential equations , open to the coupling of physical problems (electromagnetic , acoustic , thermal , mechanical , . . . ) as well as of numerical methods (finite element methods , bounda |
Green's Function Library « http://www.engr.unl.edu/~glibrary/ | | Collection of green's function solutions to canonical differential equations. |
Green's Function Theory « http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html | | A set of lecture notes on green's functions and their applications. |