Bernstein ‎M‎ulti-Scaling Operational Matrix Method for Nonlinear Matrix Differential Models of Second-‎Order‎

Subject Areas : International Journal of Industrial Mathematics

M. Mohamadi ¹ , E. Babolian ² , S. A. Yousefi ³

1 - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.
2 - Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.
3 - Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran.

Received: 2018-09-30 Accepted : 2018-11-29 Published : 2019-08-01

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

Abstract :

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.‎