Research Article

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

  1. Jizeng Wang1,2,*,
  2. Youhe Zhou1,
  3. Huajian Gao2

Article first published online: 1 OCT 2003

DOI: 10.1002/cnm.645

Issue

Communications in Numerical Methods in Engineering

Communications in Numerical Methods in Engineering

Volume 19, Issue 12, pages 959–975, December 2003

Additional Information

How to Cite

Wang, J., Zhou, Y. and Gao, H. (2003), Computation of the Laplace inverse transform by application of the wavelet theory. Commun. Numer. Meth. Engng., 19: 959–975. doi: 10.1002/cnm.645

Author Information

  1. 1

    Department of Mechanics, Lanzhou University, Lanzhou 730000, China

  2. 2

    Max Planck Institute for Metals Research, Heisenbergstrasse 3, D-70569 Stuttgart, Germany

*Department of Professor Gao, Max Planck Institute for Metals Research, Heisenbergstrasse 3, 60569 Stuttgart, Germany

Publication History

  1. Issue published online: 1 OCT 2003
  2. Article first published online: 1 OCT 2003
  3. Manuscript Accepted: 24 MAR 2003
  4. Manuscript Received: 8 NOV 2002

Funded by

  • National Key Basic Pre-Research Fund of the Ministry of Science and Technology of China
  • The Fund for Outstanding Young Researchers of the National Natural Science Foundation of China. Grant Number: 10025208
  • The Key Fund of the National Natural Science Foundation of China
  • The Fund of Excellent Teachers in Universities of the Ministry of Education of China
  • The Fund of PhD program in Universities of the Ministry of Education of China

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Keywords:

  • wavelet;
  • Fourier inversion;
  • Laplace inversion;
  • fractionally damping;
  • viscoelasticity

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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