A Direct Method For Solving Linear Delay Differential Equations
الموضوعات : مجله بین المللی ریاضیات صنعتی
E. Zeynal
1
(Department of Applied Mathematics, Yadegar-e-Imam Khomeini Shahre Rey Branch, Islamic Azad University, Tehran, Iran.)
E. Babolian
2
(Department of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.)
T. Damercheli
3
(Department of Mathematics, Yadegar-e-Imam Khomeini Shahre Rey Branch,Islamic Azad University, Tehran, Iran.)
الکلمات المفتاحية: Linear delay differential equations, Triangular functions, Block-pulse functions, Direct method,
ملخص المقالة :
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.
