On the spectrum of the finite Laplace transform with some applications | Zendy

Aouicha Ben | Zendy; Tahar Moumni | Zendy

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On the spectrum of the finite Laplace transform with some applications

Author(s) -

Aouicha Ben,

Tahar Moumni

Publication year - 2012

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm120815019b

Subject(s) - laplace transform , laplace transform applied to differential equations , mathematics , two sided laplace transform , inverse laplace transform , laplace–stieltjes transform , mellin transform , post's inversion formula , green's function for the three variable laplace equation , discretization , gaussian quadrature , spectrum (functional analysis) , mathematical analysis , quadrature (astronomy) , fractional fourier transform , fourier transform , integral equation , nyström method , fourier analysis , electronic engineering , physics , quantum mechanics , engineering

This paper is devoted to the computation of the spectrum of the finite Laplace transform (FLT) and its applications. For this purpose, we give two different practical methods. The first one uses a discretization of the FLT. The second one is based on the Gaussian quadrature method. The spectrum of the FLT is then used to invert the Laplace transform of time limited functions as well as the Laplace transform of essentially time limited functions. Several numerical results are given to illustrate the results of this work

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