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math.NA2015
Lyapunov-Sylvester Operators for Numerical Solutions of NLS Equation
Riadh Chteoui, Anouar Ben Mabrouk, Hichem Ounaies
In the present paper a numerical method is developed to approximate the solution of two-dimensional NLS equation in the presence of a singular potential. The method leads to Lyapun…
math.NA2010
Lyapunov Computational Method for Two-Dimensional Boussinesq Equation
Anouar Ben Mabrouk, Riadh Chteoui
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 fin…