Autor:	Mabrouk, Anouar Ben, Chteoui, Riadh
Rok vydání:	2010
Předmět:	Mathematics - Numerical Analysis Mathematics - Analysis of PDEs 35B05 65M06
Druh dokumentu:	Working Paper
Popis:	A numerical method is developed leading to Lyapunov operators to approximate the solution of two-dimensional Boussinesq equation. It consists of an order reduction method and a finite difference discretization. It is proved to be uniquely solvable and analyzed for local truncation error for consistency. The stability is checked by using Lyapunov criterion and the convergence is studied. Some numerical implementations are provided at the end of the paper to validate the theoretical results. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1011.1425 Zobrazit plný text záznamu View this record from Arxiv