A Direct Method For Solving ‎L‎inear Delay Differential Equations‎

Subject Areas : International Journal of Industrial Mathematics

E. Zeynal ¹ , E. Babolian ² , T. Damercheli ^{3 *}

1 - Department of Applied Mathematics, Yadegar-e-Imam Khomeini Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
3 - Department of Mathematics, Yadegar-e-Imam Khomeini Shahre Rey Branch,Islamic Azad University, Tehran, Iran.

Received: 2019-02-21 Accepted : 2020-06-07 Published : 2020-05-01

Keywords: Linear delay differential equations, Triangular functions, Block-pulse functions, Direct method,

Abstract :

In this paper, we propose direct methods to solve linear delay differential equations (DDEs) based on vector forms of Block-Pulse Functions (BPFs) and Triangular Functions (TFs). Operational matrix of integration of BPFs and TFs are applied to transform LDDE to a linear system of algebraic equations. Further, some numerical examples are presented to indicate the reliability and accuracy of these methods. Convergence analysis of the present method has been discussed.