The Wave Equation

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Post Date September 18, 2009
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How to Solve the Wave Equation

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A detailed tutorial on the solving of the wave equation. Step by step tutorial including several examples of how to solve the wave equation for reference.

 

 

 

Overview

 

 

The wave equation is an important equation in partial differential equations. In its basic form, it is expressed as:

{ \partial^2 u \over \partial t^2 } = c^2 \nabla^2 u,

Every so often, for questions involving dispersion, the variable c must be changed to v_\mathrm{p} = \frac{\omega}{k}.

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