Differential Equations Math

Differential Equations Math

Differential Equations

Differential equations relate functions of several variables to derivatives of the functions. Such equations are often used in the sciences to relate a quantity to its rate of change.

Top: Science: Math: Differential Equations

See Also:

- Consortium of ODE Experiments. Newsletter, graphics, links.
- 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.
- A set of graphics and notes intended to show how complex patterns can arise from simple differential equations.
- A set of lecture notes on Poisson's equation. [PDF Format]
- School of Computing, University of Leeds. Research details, publications, software and resources.
- Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
- 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
- Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
- Exact definition of derivation and calculating the relationship of derivatives of related functions.
- Online course material
- An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format.
- A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
- A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. Runge-Kutta) that can be compared to each other.
- A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
- 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 nature.
- This demonstration illustrates the behaviour of solutions of the telegraph equation
- PDEs section of the mathematics e-print arXiv.
- An overview of partial differential equations and their physical applications.
- A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.
- 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 equation methods.
- An ordinary differential equation (ODE) calculator. State your equation and boundary or initial value conditions and it solves your problem. Plots solution, y, and derivative, ydot, versus x. Solves nth order ODE as IVP and BVP.
- Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.
- This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
- Kevin Brown's compilation of postings including many topics in differential equations.
- Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
- European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
- 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
- Methods such as finite differences, finite elements, fast Fourier transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroed
- 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
- 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.
- A set of lecture notes on Green's functions and their applications.

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