EqWorld

The World of Mathematical Equations

English      Russian      German      French      Italian      Spanish

Equations play a crucial role in modern mathematics and form the basis for mathematical modelling of numerous phenomena and processes in science and engineering.

The international scientific-educational website EqWorld presents extensive information on solutions to various classes of ordinary differential, partial differential, integral, functional, and other mathematical equations. It also outlines some methods for solving equations, includes interesting articles, gives links to mathematical websites and software packages, lists useful handbooks and monographs, and refers to scientific publishers, journals, etc. The website includes a dynamic section Equation Archive which allows authors to quickly publish their equations (differential, integral, and other) and also exact solutions, first integrals, and transformations.

The EqWorld website is intended for researchers, university teachers, engineers, and students all over the world. It contains about 2000 webpages and is visited by over 3000 users a day (coming from 200 countries worldwide). All resources presented on this site are free to its users.

''Need the solution for the generalized Abel integral equation of the second kind? Stumped by the FitzHugh-Nagumo equation, which can describe heat transfer and the voltage across a cell membrane? Check out EqWorld ... EqWorld gathers solutions that had been squirreled away in handbooks, journals, and other sources. The site includes ordinary and partial differential equations ...''

Science, 2005, Vol 308, Issue 5727, p. 1387

''... EqWorld provides general solutions to many types of equations that scientists and engineers are likely to encounter. The website also includes articles and reading lists.''

Physics Today, July 2005, p. 35

It may be interesting for you:

A. D. Polyanin, N. A. Kudryashov, Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential, Chaos, Solitons & Fractals, 2025, Vol. 191, 115822.

The International Society of Nonlinear Mathematical Physics, the Society supports the journal Open Communications in Nonlinear Mathematical Physics.

A. D. Polyanin, Handbook of Exact Solutions to Mathematical Equations, CRC Press, Boca Raton–London, 2024.

A. D. Polyanin, A. V. Aksenov, Unsteady magnetohydrodynamics PDE of Monge-Ampère type: Symmetries, closed-form solutions, and reductions, Mathematics, 2024, Vol. 12, No. 13, 2127.

A. V. Aksenov, A. A. Kozyrev, Group classification of the unsteady axisymmetric boundary layer equation, Mathematics, 2024, Vol. 12, No. 7, 988.

A. D. Polyanin, V. G. Sorokin, A. I. Zhurov, Delay Ordinary and Partial Differential Equations, CRC Press, Boca Raton–London, 2023.

  EqWorld Internet  

Site last updated: December 3, 2024