On improvement of the integral operational matrix in block pulse function analysis
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.
scientific article; zbMATH DE number 902639
scientific article