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Deformable Laplace transform and its applications
Nonlinear Engineering, 2023 Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included.
Ahuja Priyanka +3 more
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Optimized numerical inverse Laplace transformation
ACM SIGMETRICS Performance Evaluation Review, 2022 Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate-Whitt framework (AWF) are considered to be the most efficient ones currently. It is a characteristic feature of the AWF NILT procedures that they are independent of the transform function and the time point of interest. In this work we propose an
Horvath, Illes +2 more
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A New Integral Transform for Solving Integral and Ordinary Differential Equations [PDF]
Mathematics and Computational SciencesIn this research paper, we introduce a new transform belonging to the class of Laplace transforms, called the Yasser-Jassim Transform (YJ Transform). We explore its properties and compare it to the classical Laplace transform.
Mohammed Yasser, Hassan Jassim
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Química Nova, 2021 INVERSE LAPLACE TRANSFORM FOR SIGNAL ANALYSIS OF LOW FIELD NUCLEAR MAGNETIC RESONANCE. The objective of this work is to describe the mathematical procedure denominated ‘Inverse Laplace Transform’ used to process Low Field Nuclear Magnetic Resonance ...
Tiago Bueno Moraes
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On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms [PDF]
, 2018 This paper is a continuation a previous work of the authors where parametric Gevrey asymptotics for singularly perturbed nonlinear PDEs has been studied. Here, the partial differential operators are combined with particular Moebius transforms in the time
Lastra, Alberto, Malek, Stéphane
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The Laplace Virtual Fields Method for the direct extraction of viscoelastic properties of materials
Comptes Rendus. Mécanique, 2023 This work proposes a new method aiming at the direct identification of viscoelastic properties of materials with a Laplace formalism implemented in the Virtual Fields Method and named L-VFM.
Marcot, Quentin +3 more
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Reconstruction of Lame moduli and density at the boundary enabling directional elastic wavefield decomposition [PDF]
, 2017 We consider the inverse boundary value problem for the system of equations describing elastic waves in isotropic media on a bounded domain in $\mathbb{R}^3$ via a finite-time Laplace transform. The data is the dynamical Dirichlet-to-Neumann map.
de Hoop, Maarten V. +2 more
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Advances in Mathematical Physics, 2020 In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
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The Laguerre transform of a convolution product of vector-valued functions.
Математичні Студії, 2021 The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
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, 2015 The Laplace transforms of the transition probability density and distribution functions for the Ornstein-Uhlenbeck process contain the product of two parabolic cylinder functions, namely D_{v}(x)D_{v}(y) and D_{v}(x)D_{v-1}(y), respectively.
Veestraeten, Dirk
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