Analiza dokładności obliczeniowej wybranych metod numerycznych wyznaczania odwrotnej transformaty Laplace’a

This paper presents an analysis in terms of their accuracy of selected numerical methods for the inversion of the Laplace trans form. They were used to find solution of a gas flow model in real measuring system. The measurement unit, its application as well as its useful model were described in details in a work. We examined the Gaver-Stehfest method and the Honig and Hirdes method. The first one is based on combination of Gaver functionals. The second one is based on the Fourier series expansions. The results have confirmed the fact that the selected methods are suitable to solve analyzed problem, and showed that the algorithm developed by D. P. Gaver and H. Stehfest allows to obtain the best results of calculations. All calculations were using the computer algebra system Maple®. The presented algorithms have been implemented by the authors.