Ezzati, Reza, Safavi, Mostafa, Khajehnasiri, Amirahmad, Jafari Shaerlar, Akbar. (1402). Operational matrix and their applications for solving time-varying delay systems. هنرهای کاربردی, 14(9), 79-88. doi: 10.22075/ijnaa.2022.28182.3829
Reza Ezzati; Mostafa Safavi; Amirahmad Khajehnasiri; Akbar Jafari Shaerlar. "Operational matrix and their applications for solving time-varying delay systems". هنرهای کاربردی, 14, 9, 1402, 79-88. doi: 10.22075/ijnaa.2022.28182.3829
Ezzati, Reza, Safavi, Mostafa, Khajehnasiri, Amirahmad, Jafari Shaerlar, Akbar. (1402). 'Operational matrix and their applications for solving time-varying delay systems', هنرهای کاربردی, 14(9), pp. 79-88. doi: 10.22075/ijnaa.2022.28182.3829
Ezzati, Reza, Safavi, Mostafa, Khajehnasiri, Amirahmad, Jafari Shaerlar, Akbar. Operational matrix and their applications for solving time-varying delay systems. هنرهای کاربردی, 1402; 14(9): 79-88. doi: 10.22075/ijnaa.2022.28182.3829

Operational matrix and their applications for solving time-varying delay systems

International Journal of Nonlinear Analysis and Applications
مقاله 5، دوره 14، شماره 9، آذر 2023، صفحه 79-88    اصل مقاله (384.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28182.3829
نویسندگان
Reza Ezzati* 1؛ Mostafa Safavi2؛ Amirahmad Khajehnasiri3؛ Akbar Jafari Shaerlar4
1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
2Department of Mathematics, University of Texas at Dallas, Richardson, USA
3Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
4Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran
چکیده
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.
کلیدواژه‌ها
Hat basis functions‎؛ ‎Delay operational matrix‎؛ ‎Delay systems
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