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

Sapto Wahyu Indratno | Zendy; А. Г. Рамм | Zendy

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

Author(s) -

Sapto Wahyu Indratno,

А. Г. Рамм

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/898195

Subject(s) - mathematics , laplace transform , stopping rule , inversion (geology) , post's inversion formula , inverse laplace transform , laplace transform applied to differential equations , iterative method , two sided laplace transform , convergence (economics) , mathematical analysis , algorithm , mathematical optimization , green's function for the three variable laplace equation , fourier transform , paleontology , fourier analysis , structural basin , fractional fourier transform , economics , biology , economic growth

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 () is continuous with (known) compact support. An adaptive iterative method and anadaptive stopping rule, which yield the convergence of the approximatesolution to (), are proposed in this paper

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