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arXiv · 1511.08000

A pseudo-spectral method for a non-local KdV-Burgers equation posed on $\mathbb R$

Francisco de la Hoz·Carlota Maria Cuesta
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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.

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Francisco de la Hoz, Carlota Maria Cuesta. 2015-11-25. A pseudo-spectral method for a non-local KdV-Burgers equation posed on $\mathbb R$. https://doi.org/10.1016/j.jcp.2016.01.031

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