REFINED FORMULAS FOR DETERMINATION
OF THE INVERSE LAPLACE TRANSFORM USING
FOURIER SERIES AND THEIR USE IN PROBLEMS
OF HEAT CONDUCTION

V. N. Maksimovicha and T. Ya. Solyarb

UDC 539.3

Refined formulas for determination of the original function 
from its Laplace transform which is represented in terms of Fourier 
series are given. For the cases where the asymptotic values of the 
function are known at large values of the argument, the inversion 
formulas are written in the form of a rapidly converging series. The 
results obtained are applied to solution of three-dimensional problems 
of nonstationary heat conduction.

aLutsk State Technical University, Lutsk, Ukraine; bInstitute 
of Applied Problems of Mechanics and Mathematics, National 
Academy of Sciences of Ukraine, L'vov, Ukraine; email: 
ttt@iapmm.lviv.ua. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 75, No. 3, pp. 102-103, May-June, 2002. Original article 
submitted April 19, 2001; revision submitted October 8, 2001.

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