A pseudo-spectral method for a non-local KdV-Burgers equation posed on $\mathbb R$
Numerical Analysis
2016-03-23 v1
Abstract
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation involving a Caputo-type fractional derivative. The basic idea is, using an algebraic map, to transform the whole real line into a bounded interval where we can apply a Fourier expansion. Special attention is given to the correct computation of the fractional derivative in this setting.
Keywords
Cite
@article{arxiv.1511.08000,
title = {A pseudo-spectral method for a non-local KdV-Burgers equation posed on $\mathbb R$},
author = {Francisco de la Hoz and Carlota Maria Cuesta},
journal= {arXiv preprint arXiv:1511.08000},
year = {2016}
}