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Computation of the Laplace inverse transform by application of the wavelet theory

✍ Scribed by Wang, Jizeng ;Zhou, Youhe ;Gao, Huajian

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
270 KB
Volume
19
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

An efficient and robust method of solving Laplace inverse ransform is proposed based on the wavelet theory. The inverse function is expressed as a wavelet expansion with rapid convergence. Several examples are provided to demonstrate the methodology. As an example of application, the proposed inversion method is applied to the dynamic analysis of a single‐degree‐of‐freedom spring–mass–damper system whose damping is described by a stress–strain relation containing fractional derivatives. The results are compared with previous studies. Copyright © 2003 John Wiley Sons, Ltd

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