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An approximate laplace transform inversion using exponential series representation
Author(s) -
Novotný Bohuslav
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150211
Subject(s) - inversion (geology) , laplace transform , exponential function , post's inversion formula , inverse laplace transform , mathematics , inverse , series (stratigraphy) , algorithm , representation (politics) , mellin transform , mathematical analysis , green's function for the three variable laplace equation , geometry , geology , paleontology , structural basin , politics , political science , law
A numerical Laplace transform inversion technique is described, which is a modification of the inversion method using an exponential series representation. By adding an auxiliary function and using Erdélyi's inversion formula, the proposed technique provides the inverse approximation with improved accuracy near t = 0. Numerical illustrations shows that this procedure also works in cases when the original method of schapery fails to give satisfactory results.