Bernstein Multi-Scaling Operational Matrix Method for Nonlinear Matrix Differential Models of Second-Order
Subject Areas : International Journal of Industrial Mathematics
M. Mohamadi
1
(Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.)
E. Babolian
2
(Faculty of Mathematical Sciences and Computer,
Kharazmy University, Tehran, Iran.)
S. A. Yousefi
3
(Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran.)
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.