Results 21 to 30 of about 284,284 (328)

Analysis of Particulate Systems with Numerical Inverse Laplace Transform [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2023
The technique of numerical inversion of the Laplace transform is applied to solve the population balance equation (PBE). The model considers the dispersed phase systems in which nucleation and heterogeneous condensation are present. The studied phenomena
Clauderino Batista   +4 more
doaj   +1 more source

Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems

open access: yesSymmetry, 2022
Partial differential equations arising in engineering and other sciences describe nature adequately in terms of symmetry properties. This article develops a numerical method based on the Laplace transform and the numerical inverse Laplace transform for ...
Kamran   +5 more
semanticscholar   +1 more source

Existence and Uniqueness Study of the Conformable Laplace Transform

open access: yesJournal of Mathematics, 2022
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis   +4 more
doaj   +1 more source

The Fractional Derivative of the Dirac Delta Function and Additional Results on the Inverse Laplace Transform of Irrational Functions

open access: yesFractal and Fractional, 2021
Motivated from studies on anomalous relaxation and diffusion, we show that the memory function M(t) of complex materials, that their creep compliance follows a power law, J(t)∼tq with q∈R+, is proportional to the fractional derivative of the Dirac delta ...
N. Makris
semanticscholar   +1 more source

Unique identification of fractional orders in the fractional mobile–immobile solute transport system

open access: yesApplied Mathematics in Science and Engineering, 2023
This article deals with a fractional mobile–immobile solute transport system in porous media and an inverse problem of identifying the fractional orders by the additional measurements at one interior point.
Gongsheng Li   +3 more
doaj   +1 more source

NOVEL COMPUTATIONAL TECHNIQUE FOR TIME-DEPENDENT HEAT TRANSFER ANALYSIS USING FAST INVERSE LAPLACE TRANSFORM

open access: yes, 2021
A novel computational technique is proposed for heat conduction analysis. The heat transfer equation is expanded in the complex frequency domain and solved using the finite difference method (FDM).
S. Kishimoto, Shohei Nishino, S. Ohnuki
semanticscholar   +1 more source

Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus

open access: yesFractal and Fractional, 2021
We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are exact methods of inverse Laplace transforms which allow us a numerical ...
Gerd Baumann
doaj   +1 more source

Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

open access: yesJournal of Mathematics, 2021
By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
doaj   +1 more source

A general quantum Laplace transform

open access: yesAdvances in Difference Equations, 2020
In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata   +2 more
doaj   +1 more source

Bayesian Parameterization of Continuum Battery Models from Featurized Electrochemical Measurements Considering Noise**

open access: yesBatteries &Supercaps, Volume 6, Issue 1, January 2023., 2023
We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn   +3 more
wiley   +1 more source

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