Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials
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Abstract:
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.
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Journal title
volume 1 issue 2
pages 78- 95
publication date 2013-10-01
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