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Wave equation

The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics.

Art, Green's function & Further generalizations

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Overview

Introduction

Wave equation in one space dimension

Vectorial wave equation in three space dimensions

Scalar wave equation in three space dimensions

Scalar wave equation in two space dimensions

Green's function

Problems with boundaries

Inhomogeneous wave equation in one dimension

Further generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Wave equation

Nodes142
Edges141
Triples126
Avg. degree1.99
Density0.014085
Components1

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Wave equation

Top relations

related to References · 38
Wave equation → Acta Mathematica, American Mathematical Soc, Atiyah, BF02392039, BF02394570, Bott, Co, Courant, EqWorld, Evans, Flint, Gårding, Hilbert, II, Interscience, ISBN, ISSN, Its Solutions, Lacunas, Lane
related to External links · 18
Wave equation → Bell Telephone Laboratories, Dispersive PDE Wiki Archived, Dr, Graham, Griffiths, John Shive, Linear, Mathematical, Nonlinear Wave Equation Explorer, Nonlinear Wave Equations, Rob Knapp, Schiesser, Scholarpedia, Stephen Wolfram, Wave Behavior, Wayback Machine, William, Wolfram Demonstrations Project
related to Spherical waves · 9
Wave equation → Bessel, Fourier, Helmholtz, In, Psi, Substituting, The, This, To
related to Duhamel's principle · 7
Wave equation → Duhamel's, For, Given, Green, Green's, More, The
related to Elastic waves · 7
Wave equation → By, Cauchy, Earth, Most, Navier, The, While
related to Introduction · 7
Wave equation → At, By, Cartesian, For, Other, The, This
related to Derivation · 5
Wave equation → Another, Hooke's, In, Most, The
is a · 4
Wave equation → equation to be satisfied by each component, hyperbolic partial differential equation describing waves, linear differential equation, second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves
related to Green's function · 4
Wave equation → By, Consider, Since, The
related to Several space dimensions · 4
Wave equation → Consider, On, The, Then

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Important terminology

displaystyle wave equation frac partial solution waves function dimensions left ct right solutions time case omega space int two delta

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Wave equationis asecond-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves0.90text
Wave equationis ahyperbolic partial differential equation describing waves0.90text
Wave equationis aequation to be satisfied by each component0.90text
Wave equationis alinear differential equation0.90text
mechanical wavesinstance ofA pulse traveling through a string with fixed endpoints as modeled by the wave equationSpherical waves coming from a point sourceA solution to the 2D wave equationThe wave equat…0.80text
waves for an electrical fieldinstance ofthere are vector wave equations describing waves in vectors0.80text
magnetic fieldinstance ofthere are vector wave equations describing waves in vectors0.80text
and magnetic vector potentialinstance ofthere are vector wave equations describing waves in vectors0.80text
elastic wavesinstance ofthere are vector wave equations describing waves in vectors0.80text
pressure in a liquid or gasinstance ofOther scalar wave equation solutions u are for physical quantities in scalars0.80text
or the displacement along some specific direction of particles of a vibrating solid away from their restinginstance ofOther scalar wave equation solutions u are for physical quantities in scalars0.80text
Wave equationrelated to DerivationThe0.60section

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