Title of article :
Operational matrix and their applications for solving time-varying delay systems
Author/Authors :
Ezzati ، Reza Department of Mathematics - Islamic Azad University, Karaj Branch , Safavi ، Mostafa Department of Mathematics - University of Texas at Dallas , Khajehnasiri ، Amirahmad Department of Mathematics - Islamic Azad University, North Tehran Branch , Jafari Shaerlar ، Akbar Department of Mathematics - Islamic Azad University, Khalkhal Branch
Abstract :
The purpose of this paper is to provide a numerical method based on the Hat basis functions as well as the operational matrices for finding the approximate solution of time-invariant delay systems. From this point of view, the operational matrices of integration, delay, product, and dual of Hat basic functions are derived, which are utilized to practically reduce the time-varying delay systems solution to the simplest system of algebraic equations. The numerical results have been compared and tabulated with previous results. The simplicity, clarity and effectiveness of the proposed method are shown through three examples.
Keywords :
Hat basis functions , Delay operational matrix , Delay systems
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications
