Results 31 to 40 of about 115,635 (232)

Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform

open access: yesFractal and Fractional, 2023
In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri   +4 more
doaj   +1 more source

MENCARI RESIDU UNTUK MENCARI TRANSFORMASI LAPLACE INVERS [PDF]

open access: yes, 2006
Laplace transform represent one of used mathematics component in many other science. This, \ud because Laplace transform give effective and easy method to get solution from various problem. \ud Application of Residu can be used to look for Laplace invers
Widayanti, Emi
core  

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

A new method for numerical inversion of the Laplace transform

open access: yes, 1998
A formula of Doetsch ({\em Math. Zeitschr.} {\bf 42}, 263 (1937)) is generalized and used to numerically invert the one-sided Laplace transform ${\hat C}(\beta)$. The necessary input is only the values of ${\hat C}(\beta)$ on the positive real axis.
Huepper, Bruno, Pollak, Eli
core   +1 more source

Explicit formulas for the Dunkl dihedral kernel and the ( κ , a )-generalized Fourier kernel [PDF]

open access: yes, 2018
In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the (k,a)-generalized Fourier transform for k=0. In the case of dihedral groups, this method is also applied to the Dunkl kernel as well as the Dunkl ...
Constales, Denis   +2 more
core   +2 more sources

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

A Laplace transform approach to the quantum harmonic oscillator

open access: yes, 2012
The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at ...
de Castro, Antonio S.   +1 more
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

On the Laplace-Type Transform and Its Applications

open access: yesAxioms
Using the Laplace transform and the Gamma function, we obtain the Laplace-type transform, with the property of mapping a function to a functional sequence, which cannot be realized by the Laplace transform. In addition, we construct a backward difference
Slobodan B. Tričković   +1 more
doaj   +1 more source

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