On improvement of the integral operational matrix in block pulse function analysis
type: Item
instance of: scholarly article
title: On improvement of the integral operational matrix in block pulse function analysis
zbMATH Open document ID: 0864.65009
DOI: 10.1016/0016-0032(95)00057-7
author: Anish Deb
author: Manabrata Bhattacharjee
author: Gautam Sarkar
author: Sunit Kr. Sen
published in: Journal of the Franklin Institute
publication date: 1997-06-22T00:00:00Z
review text: A new operational matrix \(P2\) for integration is introduced which is an improvement of the conventional operational matrix \(P\) and the improved operational matrix P1 proposed by \textit{W.-L. Chen} and \textit{C.-Y. Chung} [Int. J. Syst. Sci. 18, 403-408 (1987; Zbl 0639.65015)]. It is also shown that if any function \(f(t)\), square integrable in the Lebesgue sense, is expanded in a block pulse series, the conventional integral operational matrix P always computes the exact integration. Some illustrative numerical examples are given in order to establish the validity of proposals presented in this paper.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93C57
zbMATH DE Number: 902639
zbMATH Keywords: block pulse function analysis
zbMATH Keywords: block pulse series
zbMATH Keywords: integral operational matrix
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0016-0032(95)00057-7
OpenAlex ID: W2046815740
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description: scientific article; zbMATH DE number 902639