MATLAB algorithms for the Laplace transform inversion

There are currently no MATLAB functions to perform a numerical Laplace transform or a numerical inversion of the Laplace transform, officially supported by the MathWorks, Inc. The author introduces five MATLAB algorithms for the Laplace transform inversion found by means of Internet. The present contribution deals with using them to the numerical inversion of several complicated Laplace transforms described in literature. From the results, the conclusion follows that all the used MATLAB algorithms might be precise and reliable tools to calculate original from the Laplace transform.