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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 | ||
تاریخ دریافت: 02 شهریور 1401، تاریخ بازنگری: 23 آبان 1401، تاریخ پذیرش: 05 آذر 1401 | ||
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 | ||
مراجع | ||
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