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

الموضوعات : مجله بین المللی ریاضیات صنعتی

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.)

تاريخ الإرسال : 20 الأحد , محرم, 1440 تاريخ التأكيد : 21 الخميس , ربيع الأول, 1440 تاريخ الإصدار : 29 الخميس , ذو القعدة, 1440

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

ملخص المقالة :

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.‎