THE LAGUERRE FUNCTIONS IN THE INVERSION OF THE LAPLACE TRANSFORM

We present a numerical inversion method for the Laplace transform based on the Fourier series of Laguerre functions. We assume that the values of the Laplace transform are given in,a finite interval and that they contain noise. The domain of the restored function is (0, infinity ). The convergence of the algorithm is examined and we present a rule for the choice of the Laguerre function parameter. The algorithm is applied to test problems and the results confirm that our algorithm is competitive with others recently presented for this ill-posed problem.