Definition:Wave Equation/Also presented as
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Wave Equation: Also presented as
The wave equation is also seen presented in the form:
| \(\ds \dfrac {\partial^2 \phi} {\partial t^2}\) | \(=\) | \(\ds c^2 \paren {\dfrac {\partial^2 \phi} {\partial x^2} + \dfrac {\partial^2 \phi} {\partial y^2} + \dfrac {\partial^2 \phi} {\partial z^2} }\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds c^2 \nabla^2 \phi\) | where $\nabla^2$ is the Laplacian operator |
Sources
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 1$: Introduction
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): wave equation