Results 11 to 20 of about 232,217 (241)

The accurate numerical inversion of laplace transforms [PDF]

open access: yes, 1976
Inversion of almost arbitrary Laplace transforms is effected by trapezoidal integration along a special contour. The number n of points to be used is one of several parameters, in most cases yielding absolute errors of order 10-7 for n = 10, 10-11 for n
Tablot, A
core   +6 more sources

Evaluating Improper Integrals using Laplace Transforms

open access: yes, 2023
We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 f(t) dt using Laplace transforms. Careful proofs are given to justify the method and establish some limits that streamline the computations.
Stewart, Sean M., Gordon, Russell A.
core   +1 more source

N-Transform - Properties and Applications

open access: yesNUST Journal of Engineering Sciences, 2008
A new integral transform similar to Laplace and Sumudu transforms is introduced. It converges to both transforms just by changing variables. A table is presented for existing Laplace and Sumudu transforms.
Zafar H. Khan, Waqar. A. Khan
doaj   +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

Laplace transform pairs of N-dimensions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
In this paper I prove a theorem to obtain new n-dimensional Laplace transform pairs.
R. S. Dahiya
doaj   +1 more source

Fractional Laplace Transforms - A Perspective

open access: yesFrontiers in Physics, 2014
A new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed.
Rudolf A. Treumann, Wolfgang eBaumjohann
doaj   +1 more source

Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type

open access: yesOpen Mathematics, 2020
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin   +3 more
doaj   +1 more source

Some Properties and Applications of a New General Triple Integral Transform “Gamar Transform’’

open access: yesComplexity, 2023
The goal of this study is to suggest a new general triple integral transform known as Gamar transform. Next, we compare the current transform to a number of existing triple integral transforms such as those by Laplace, Sumudu, Elzaki, Aboodh, and Laplace–
Abdelilah Kamal H. Sedeeg
doaj   +1 more source

Timoshenko beam and plate non-stationary vibrations [PDF]

open access: yesINCAS Bulletin, 2021
The problems of Timoshenko beams and plates lateral vibrations under the influence of unsteady loads are considered. Both beam and plate is supposed to be unlimited. In case of the plate the problem has been simply studied.
Grigory V. FEDOTENKOV   +4 more
doaj   +1 more source

The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane

open access: yesJournal of Inequalities and Applications, 2018
By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms.
Hong Yan Xu, Hua Wang
doaj   +1 more source

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