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Multistage Bernstein collocation method for solving strongly nonlinear damped systems
(Sage Publications Ltd, 2019)
In this paper, we propose an approximate solution method, called multistage Bernstein collocation method (MBCM), to solve strongly nonlinear damped systems. The method is given with an error analysis. The systems investigated ...
A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations
(Elsevier B.V., 2023)
In this paper, we apply the Bernstein collocation method to construct the solution set of the Sylvester matrix differential equation (Sy-MDE) which involves the Lyapunov matrix differential equation. The method depends on ...