Research exercise: Simulation of Nonlinear Waves Using Sinc Collocation-Interpolation

Authors

Presenter(s)

Eric A. Gerwin, Jessica E. Steve

Comments

This poster reflects research conducted as part of a course project designed to give students experience in the research process.

Files

Description

In this project we explore the Sinc collocation method to solve an initial and boundary value problem of nonlinear wave equation. The Sinc collocation method is based upon interpolation technique, by discretizing the function and its spatial derivatives using linear combination of translated Sinc functions. Our project will focus on multiple boundary conditions such as the well known Dirichlet and Neumann conditions. Our project will also focus on two established nonlinear partial differential equations: the Sine-Gordon equation and the Kortweg-de Vries equation.

Publication Date

4-17-2013

Project Designation

Course Project

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Recommended Citation

"Research exercise: Simulation of Nonlinear Waves Using Sinc Collocation-Interpolation" (2013). Stander Symposium Projects. 352.
https://ecommons.udayton.edu/stander_posters/352