Numerical inversion of laplace transform using Haar wavelet operational matrices

Authors
Wu, JL Chen, CH Chen, CF
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
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
10577122 → 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.