Operational matrix and their applications for solving time-varying delay systems
نویسندگان
1 Department of Mathematics, University of Texas at Dallas, Richardson, USA
2 Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
4 Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran
doi
10.22075/ijnaa.2022.28182.3829چکیده
The purpose of this paper is to provide a generalized formulation for Hat basis functions and to present the operational matrices for finding the approximate solution for time-invariant delay systems. From this prospect, the hat basic functions of integration, delay, product, and dual are derived, which are utilized to practically reduce the time-varying delay systems solution to the simplest system of algebraic equations. The numerical results compared and tabled with previous works showcase the method's simplicity, clarity, and effectiveness through the three examples.
