Dirkjan at 20:16, 27 August 2020

2020-08-27T20:16:39Z

Dirkjan: Created page with "Source: http://en.wikipedia.org/wiki/Wave The wave equation is a partial differential equation that describes the evolution of a wave over time in a medium where the wave pro..."

2020-08-25T09:02:47Z

Created page with "Source: http://en.wikipedia.org/wiki/Wave The wave equation is a partial differential equation that describes the evolution of a wave over time in a medium where the wave pro..."

New page

Source: http://en.wikipedia.org/wiki/Wave

The wave equation is a partial differential equation that describes the evolution of a wave over time in a medium where the wave propagates at the same speed independent of wavelength (no dispersion), and independent of amplitude (linear media, not nonlinear).

In particular, consider the wave equation in one dimension, for example, as applied to a string. Suppose a one-dimensional wave is traveling along the x axis with velocity v and amplitude u (which generally depends on both x and t), the wave equation is

<math> \huge \frac{1}{v^2}\frac{\partial^2 u}{\partial t^2}=\frac{\partial^2 u}{\partial x^2}. \ </math>

The velocity v will depend on the medium through which the wave is moving.

See also:

<html><a href="/static/files/Microscopy/derivation-wave.pdf">Derivation of the Wave Equation</a></html>

<html>
<iframe src="http://docs.google.com/gview?url=/static/files/Microscopy/derivation-wave.pdf&embedded=true" style="width:718px; height:700px;" frameborder="0"></iframe>
</html>

or watch:

<youtube>r2GIY2ZmXPY</youtube>
[[Category:microscopy]]

[[Category:Video]]

@@ Line 5: / Line 5: @@
 In particular, consider the wave equation in one dimension, for example, as applied to a string. Suppose a one-dimensional wave is traveling along the x axis with velocity v and amplitude u (which generally depends on both x and t), the wave equation is
-<math> \huge    \frac{1}{v^2}\frac{\partial^2 u}{\partial t^2}=\frac{\partial^2 u}{\partial x^2}. \ </math>
+<math>    \frac{1}{v^2}\frac{\partial^2 u}{\partial t^2}=\frac{\partial^2 u}{\partial x^2}. \ </math>
 The velocity v will depend on the medium through which the wave is moving.

Wave Equation - Revision history

Dirkjan at 20:16, 27 August 2020

Dirkjan: Created page with "Source: http://en.wikipedia.org/wiki/Wave The wave equation is a partial differential equation that describes the evolution of a wave over time in a medium where the wave pro..."