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

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJIM-11-3_008

تاریخ نمایه سازی: 26 دی 1402

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.‎

Keywords:

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

Authors

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.‎