A Direct Method For Solving ‎L‎inear Delay Differential Equations‎

Author(s):

E. Zeynal , E. Babolian , T. Damercheli*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Linear delay differential equations , Block-Pulse Functions , Triangular Functions , Direct method

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:12 Issue: 3, Spring 2020
Pages:
273 to 382
https://www.magiran.com/p2164057