Title of article :
A Direct Method For Solving Linear Delay Differential Equations
Author/Authors :
Zeynal ، E. Department of Applied Mathematics - Islamic Azad University, Yadegar-e-Imam Khomeini Shahre Rey Branch , Babolian ، E. Department of Mathematical Sciences and Computer - Kharazmi University , Damercheli ، T. Department of Mathematics - Islamic Azad University, Yadegar-e-Imam Khomeini Shahre Rey Branch
Abstract :
In this paper, we propose direct methods to solve linear delay differential equations (LDDEs) based on vector forms of Block-Pulse Functions (BPFs) and Triangular Functions (TFs). Operational matrix of integration of BPFs and TFs is applied to transform LDDE to a linear system of algebraic equations. Furthermore, some numerical examples are presented to indicate the reliability and the accuracy of these methods. Convergence analysis of the present method has been discussed, too.
Keywords :
Linear delay differential equations , Block , pulse functions , Triangular functions , Direct method
Journal title :
International Journal of Industrial Mathematics(IJIM)
Journal title :
International Journal of Industrial Mathematics(IJIM)