1. A splitting method for the augmented Burgers equation
- Author
-
Alejandro Pozo and Liviu I. Ignat
- Subjects
Computer Networks and Communications ,Nonlocal diffusion ,Applied Mathematics ,Mathematical analysis ,Large time ,010103 numerical & computational mathematics ,Numerical Analysis (math.NA) ,First order ,Asymptotic behavior ,01 natural sciences ,Burgers' equation ,Term (time) ,010101 applied mathematics ,Computational Mathematics ,FOS: Mathematics ,Splitting method ,Mathematics - Numerical Analysis ,0101 mathematics ,Asymptotic expansion ,Software ,Mathematics - 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, 24 pages
- Published
- 2016