A splitting method for the augmented Burgers equation
arXiv:1611.041134 citationsh-index: 20
Originality Synthesis-oriented
AI Analysis
This is an incremental theoretical contribution for researchers studying numerical methods for nonlinear PDEs.
The paper proposes a splitting method for the augmented Burgers equation, proving first-order convergence and analyzing large-time behavior, showing that solutions asymptotically match self-similar solutions of the viscous Burgers equation.
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