Ahmad Golbabai - School of Mathematics, Iran University of Science and Technology, Tehran, Iran
Samaneh Panjeh Ali Beik - School of Mathematics, Iran University of Science and Technology, Tehran, Iran

The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are reported to demonstrate the applicably and efficiency of the propounded technique.

Linear matrix differential equation, Bernoulli polynomials, operational matrix of derivative, error estimation