M. Mohamadi - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, ‎Iran.‎
E. Babolian - Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.
S. A. Yousefi - Department of Mathematics, Shahid Beheshti University, G. C. Tehran, ‎Iran.‎

In The current paper presents an idea for solving a class of linear matrix differential equations of second order. To perform so, the operational matrix of the integration based on the Bernstein multi-scaling polynomials are used to reduce the main problem to system of matrix equations. Numerical experiments illustrate the applicably and efficiency of the propounded ‎technique.‎

Matrix differential equation, Bernstein multi-scaling polynomials, Operational matrix of ‎integration.‎