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Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials | ||
Computational Methods for Differential Equations | ||
مقاله 1، دوره 1، شماره 2، دی 2013، صفحه 78-95 اصل مقاله (225.99 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
M. Behroozifar1؛ S. A. Yousefi2 | ||
1Babol University of Technology | ||
2Shahid Beheshti University | ||
چکیده | ||
In this paper, we introduce hybrid of block-pulse functions and Bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. Then, we utilize them to solve delay differential equations and time-delay system. The method is based upon expanding various time-varying functions as their truncated hybrid functions. Illustrative examples are included to demonstrate the validity, efficiency and applicability of the method. | ||
کلیدواژهها | ||
Delay differential equation؛ Bernstein polynomial؛ Hybrid of block-pulse function؛ Operational matrix | ||
مراجع | ||
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