Lyapunov-Sylvester Computational Method for Two-Dimensional Boussinesq Equation
Numerical Analysis
2015-11-11 v1
Abstract
A numerical method is developed leading to algebraic systems based on generalized Lyapunov-Sylvester 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, stable and convergent by using Lyapunov criterion and manipulating Lyapunov-Sylvester operators. Some numerical implementations are provided at the end of the paper to validate the theoretical results.
Cite
@article{arxiv.1511.02850,
title = {Lyapunov-Sylvester Computational Method for Two-Dimensional Boussinesq Equation},
author = {Abdelhamid Bezia and Anouar Ben Mabrouk and Kamel Betina},
journal= {arXiv preprint arXiv:1511.02850},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1011.1425, arXiv:1511.02358