Computation of the Laplace inverse transform by application of the wavelet theory
Jizeng Wang, Youhe Zhou, Huajian Gao · Communications in Numerical Methods in Engineering · 2003
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