# WavePDEComponent WavePDEComponent[vars,pars]

yields a wave equation PDE term with model variables vars and model parameters pars.

# Details  • WavePDEComponent returns a sum of differential operators to be used as a part of partial differential equations
• • WavePDEComponent can be used to model wave equations with dependent variable , independent variables and time variable .
• Time-dependent model variables vars are vars={u[t,x1,,xn],t,{x1,,xn}}.
• The WavePDEComponent is based on a diffusion term:
• • The wave PDE term is realized as a DiffusionPDETerm with as a diffusion coefficient, for a constant resulting in .
• The following model parameters pars can be given:
•  parameter default symbol "WaveCoefficient" 1 "RegionSymmetry" None • The source term coefficient is a scalar.
• The source term coefficient cannot depend on space.
• A possible choice for the parameter "RegionSymmetry" is "Axisymmetric".
• "Axisymmetric" region symmetry represents a truncated cylindrical coordinate system where the cylindrical coordinates are reduced by removing the angle variable as follows:
•  dimension reduction equation 1D  2D  • If the WavePDEComponent depends on parameters that are specified in the association pars as ,keypi,pivi,, the parameters are replaced with .

# Examples

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## Basic Examples(3)

Define a wave PDE component:

Activate the component:

Define a wave PDE component with a symbolic coefficient:

Find the eigenvalues of a wave equation:

## Scope(1)

Define a 2D axisymmetric wave PDE component:

Activate the term: