Bernoulli matrix approach for matrix differential models of first-order
Publish place: Journal of Mathematical Modeling، Vol: 3، Issue: 1
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-3-1_005
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are reported to demonstrate the applicably and efficiency of the propounded technique.
Keywords:
Linear matrix differential equation , Bernoulli polynomials , operational matrix of derivative , error estimation
Authors
Ahmad Golbabai
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
Samaneh Panjeh Ali Beik
School of Mathematics, Iran University of Science and Technology, Tehran, Iran