What does wave equation mean?

Definitions for wave equation
wave equa·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word wave equation.

Princeton's WordNet

  1. wave equationnoun

    a differential equation that describes the passage of harmonic waves through a medium

ChatGPT

  1. wave equation

    The wave equation is a second-order linear partial differential equation that describes the propagation of various types of waves, such as mechanical waves (e.g., water waves, sound waves and seismic waves) or light waves. It is a fundamental equation in physics and results from the combination of Newton's second law and Hooke's law. In its simplest form, the wave equation can be represented as: ∇²ψ = (1/c²) (∂²ψ/∂t²) Where ψ (psi) is the wave function, ∇² is the Laplacian (a differential operator representing divergence of gradient), c is the wave speed, and t represents time. The left side of the equation represents spatial distribution while the right side represents time evolution.

Wikidata

  1. Wave equation

    The wave equation is an important second-order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in fields like acoustics, electromagnetics, and fluid dynamics. Historically, the problem of a vibrating string such as that of a musical instrument was studied by Jean le Rond d'Alembert, Leonhard Euler, Daniel Bernoulli, and Joseph-Louis Lagrange.

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Numerology

  1. Chaldean Numerology

    The numerical value of wave equation in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of wave equation in Pythagorean Numerology is: 9

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"wave equation." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/wave+equation>.

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