Behroozifar, M., Yousefi, S. (2013). Numerical solution of delay differential
equations via operational matrices of hybrid of block-pulse
functions and Bernstein polynomials. Computational Methods for Differential Equations, 1(2), 78-95.

M. Behroozifar; S. A. Yousefi. "Numerical solution of delay differential
equations via operational matrices of hybrid of block-pulse
functions and Bernstein polynomials". Computational Methods for Differential Equations, 1, 2, 2013, 78-95.

Behroozifar, M., Yousefi, S. (2013). 'Numerical solution of delay differential
equations via operational matrices of hybrid of block-pulse
functions and Bernstein polynomials', Computational Methods for Differential Equations, 1(2), pp. 78-95.

Behroozifar, M., Yousefi, S. Numerical solution of delay differential
equations via operational matrices of hybrid of block-pulse
functions and Bernstein polynomials. Computational Methods for Differential Equations, 2013; 1(2): 78-95.

Numerical solution of delay differential
equations via operational matrices of hybrid of block-pulse
functions and Bernstein polynomials

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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