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Applications of Laplace Transforms and their Inverses [PDF]
Proceedings of the American Mathematical Society, 1972 By means of Laplace transforms and their inverses we first solve the Varma transform, considered as an integral equation for an unknown function in the integrand. We then express two operators of fractional integration in terms of Laplace and inverse Laplace transforms.
Charles W. Fox
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Laguerre polynomials and the inverse Laplace transform using discrete data [PDF]
, 2007 We consider the problem of finding a function defined on $(0,\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed.
Tran Ngoc Lien +2 more
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A note on the inverse Laplace transform
Cadernos do IME - Série Matemática, 2018 In this note we show that the method for finding inverse Laplace transform without using integration on the complex plane can be used to find integral representations on the positive real axis for some functions. Furthermore, this inversion method allows us to study the inverse Laplace transform of non-tabulated functions.
Eliana Contharteze Grigoletto +1 more
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A spectral projection based method for the numerical solution of wave equations with memory [PDF]
, 2021 In this paper, we compare two approaches to numerically approximate the solution of second-order Gurtin-Pipkin type of integro-dierential equations. Both methods are based on a high-order Discontinous Galerkin approximation in space and the numerical ...
Engström, Christian +2 more
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Effects of the ARA transform method for time fractional problems [PDF]
Mathematica Moravica, 2022 The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
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The Generalized Stieltjes Transform and Its Inverse [PDF]
, 2004 The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\
Schwarz, John H.
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Laplace transform of spherical Bessel functions [PDF]
, 2001 We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in ...
A Ludu +7 more
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SOME EXTENDED MUTUAL RELATIONSHIPS BETWEEN THE CONVOLUTIONS TRANSFORM [PDF]
Journal of Mechanics of Continua and Mathematical SciencesIn this paper, we establish several interesting mutual relationships between two integral transforms of convolutions transform have been ...
A. K. Thakur +3 more
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Numerical inversion of the Laplace transform [PDF]
The Journal of Chemical Physics, 1999 A generalization of Doetsch’s formula [Math. Z. 42, 263 (1937)] is derived to develop a stable numerical inversion of the one-sided Laplace transform Ĉ(β). The necessary input is only the values of Ĉ(β) on the positive real axis. The method is applicable provided that the functions Ĉ(β) belong to the function space Lα2 defined by the condition that G(x)
Eli Pollak, Bruno Huepper
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Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates [PDF]
Journal of Applied and Computational Mechanics, 2019 Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed.
Najma Ahmed +5 more
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