English

A splitting method for the augmented Burgers equation

Numerical Analysis 2016-11-22 v2

Abstract

In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behave as the self-similar solutions of the viscous Burgers equation

Cite

@article{arxiv.1611.04113,
  title  = {A splitting method for the augmented Burgers equation},
  author = {Liviu I. Ignat and Alejandro Pozo},
  journal= {arXiv preprint arXiv:1611.04113},
  year   = {2016}
}

Comments

24 pages

R2 v1 2026-06-22T16:50:37.879Z