International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 898195, 38 pages
Research Article

Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method

Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA

Received 24 July 2009; Accepted 19 October 2009

Academic Editor: Thomas Witelski

Copyright © 2009 Sapto W. Indratno and Alexander G. Ramm. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function f(t) is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergence of the approximate solution to f(t), are proposed in this paper.