Numerical solution of the KdV equation with periodic boundary conditions using the sinc-collocation method

Authors

Presenter(s)

Nicholas D. Haynes

Files

Description

We demonstrate numerically the eventual time-periodicity of the solutions of the Korteweg-de Vries equation with periodic forcing at the boundary using the sinc-collocation method. This method approximates the space dimension of the solution with a cardinal expansion of sinc functions, thus allowing the avoidance of a costly finite difference grid for a third-order boundary value problem. The first-order time derivative is approximated with a weighted finite difference method. The sinc-collocation method was found to be more robust and more efficient than other numerical schemes when applied to this problem.

Publication Date

4-17-2013

Project Designation

Graduate Research

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Recommended Citation

"Numerical solution of the KdV equation with periodic boundary conditions using the sinc-collocation method" (2013). Stander Symposium Projects. 267.
https://ecommons.udayton.edu/stander_posters/267