Results 41 to 50 of about 13,053 (205)

The Laplace transform in discrete fractional calculus [PDF]

open access: yes, 2011
We develop properties of the Laplace Transform in a discrete, fractional calculus setting, giving a precise treatment to convergence along the way.
Holm, Michael T., Michael T. Holm
core   +1 more source

A Hybrid Laplace Transform/Finite Difference Method for Diffusion Problems [PDF]

open access: yes, 2022
The thesis carries out a series of investigations to improve the understanding and effciency of the Laplace Transform Finite Difference Method (LTFDM).
Defreitas, Colin
core   +1 more source

A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method

open access: yesOpen Physics
Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study, we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu derivatives. It becomes challenging to find the analytical solution to these
Kamran   +5 more
doaj   +1 more source

Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness

open access: yesMathematics, 2020
In this paper, we propose an integral transform method for the numerical solution of random mean square parabolic models, that makes manageable the computational complexity due to the storage of intermediate information when one applies iterative methods.
María-Consuelo Casabán   +2 more
doaj   +1 more source

Fractional Laplace transform method in the framework of the CTIT transformation

open access: yesJournal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuri Özalp, Ozlem Ozturk Mizrak
openaire   +2 more sources

A Critical Look at the Laplace Transform Method in Engineering Education [PDF]

open access: yes, 2023
We present a new look at teaching the Laplace transform for engineering students by emphasizing the obsolescence of the traditional method of finding the inverse Laplace transform when solving differential equations, and by recognizing the important role
Imad Abou-Hayt (14807335)   +5 more
core   +1 more source

Computational Approach for Differential Equations with Local and Nonlocal Fractional-Order Differential Operators

open access: yesJournal of Mathematics, 2023
Laplace transform has been used for solving differential equations of fractional order either PDEs or ODEs. However, using the Laplace transform sometimes leads to solutions in Laplace space that are not readily invertible to the real domain by ...
null Kamran   +4 more
doaj   +1 more source

Numerical solutions for 2D unsteady Laplace-type problems of anisotropic functionally graded materials

open access: yesMathematical Modelling and Analysis, 2022
The time-dependent Laplace-type equation of variable coefficients for anisotropic inhomogeneous media is discussed in this paper. Numerical solutions to problems which are governed by the equation are sought by using a combined Laplace transform and ...
Mohammad Ivan Azis
doaj   +1 more source

Analytical Solutions for Fractional Differential Equations Using a General Conformable Multiple Laplace Transform Decomposition Method [PDF]

open access: yes, 2023
In this paper, a new analytical technique is proposed for solving fractional partial differential equations. This method is referred to as the general conformal multiple Laplace transform decomposition method.
Honggang Jia
core   +1 more source

The Laplace Virtual Fields Method for the direct extraction of viscoelastic properties of materials

open access: yesComptes 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
doaj   +1 more source

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