A Direct Method For Solving ‎L‎inear Delay Differential Equations‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

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.

تاريخ الإرسال : 16 الخميس , جمادى الثانية, 1440 تاريخ التأكيد : 15 الأحد , شوال, 1441 تاريخ الإصدار : 08 الجمعة , رمضان, 1441

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.