View source for Integral Equation for the Finite Depth Green Function at Surface

{{complete pages}}

We want to solve
<center><math>
\phi(x) =  \int_{-L}^{L}G(x,\xi)
\left(
\alpha\phi(\xi) - w(\xi)
\right)\mathrm{d} \xi
</math></center>
where 
<math>G(x,\xi)</math> is the [[Free-Surface Green Function]] for two-dimensional waves, with singularity at
the water surface. We break the surface into <math>N</math> evenly spaced point
<math>x_n = -L = hn</math> where <math>h=2L/N</math> and <math>n=0,1,\dots,N</math>


== Matlab Code ==

A program to calculate the coefficients for the semi-infinite dock problems can be found here
{{green function surface code}}

=== Additional code ===

This program requires
* {{free surface dispersion equation code}}

[[Category:Linear Water-Wave Theory]]
[[Category:Pages with Matlab Code]]