On improvement of the integral operational matrix in block pulse function analysis (Q1916918)
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scientific article; zbMATH DE number 902639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On improvement of the integral operational matrix in block pulse function analysis |
scientific article; zbMATH DE number 902639 |
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On improvement of the integral operational matrix in block pulse function analysis (English)
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22 June 1997
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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.
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block pulse function analysis
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block pulse series
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integral operational matrix
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numerical examples
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