Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials
Publish Year: 1392
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-1-2_001
Index date: 6 March 2023
Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials 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.
Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials Keywords:
Delay differential equation , Bernstein polynomial , Hybrid of block-pulse function , Operational matrix
Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials authors
M. Behroozifar
Babol University of Technology
S. A. Yousefi
Shahid Beheshti University
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