An efficient method based on operational matrices of Bernoulli polynomials for solving matrix differential equations

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• 作者：Ahmad Golbabai (1)
  Samaneh Panjeh Ali Beik (1)
  
  1. School of Mathematics ; Iran University of Science and Technology ; P. O. Box ; 16846-13114 ; Tehran ; Iran
  
• 关键词：Linear matrix differential equation ; Bernoulli basis ; Operational matrices ; 34A30 ; 41A10
• 刊名：Computational and Applied Mathematics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：34
• 期：1
• 页码：159-175
• 全文大小：813 KB
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• 刊物主题：Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science;
• 出版者：Springer Basel
• ISSN：1807-0302

文摘

The current paper deals with elaborating a novel framework for solving a class of linear matrix differential equations. To this end, the operational matrices of integration and the product based on the shifted Bernoulli polynomials are presented and a general procedure for forming this matrices is given. The properties of this matrices are exploited to reduce the main problem to a linear matrix equation. Numerical experiments are reported to demonstrate the applicably and efficiency of the propounded technique.