Numerical inversion of laplace transform using Haar wavelet operational matrices

Citation
Jl. Wu et al., Numerical inversion of laplace transform using Haar wavelet operational matrices, IEEE CIRC-I, 48(1), 2001, pp. 120-122
Citations number
7
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
1057-7122 → ACNP
Volume
48
Issue
1
Year of publication
2001
Pages
120 - 122
Database
ISI
SICI code
1057-7122(200101)48:1<120:NIOLTU>2.0.ZU;2-M
Abstract
In this paper, a unified derivation of the operational matrices of various orthogonal functions including the Haar wavelet is first given. Based on th e derived operational matrix, this paper presents a new method for performi ng numerical inversion of the Laplace transform. Only matrix multiplication s and ordinary algebraic operations are involved in the method. The propose d method is a much simpler as compared with the dictionary-type method and the contour-integration method.