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Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus [PDF]
Fractal 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
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Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
Annales Mathematicae Silesianae, 2023 Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J. +3 more
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A Sinc Function Analogue of Chebfun [PDF]
SIAM Journal on Scientific Computing, 2011 Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series.
Richardson, M, Trefethen, L
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On the solution of Zabolotskaya–Khokhlov and Diffusion of Oxygen equations using a Sinc collocation method [PDF]
Partial Differential Equations in Applied Mathematics, 2021 Recent progress seems to suggest that the use of Sinc collocation method for the numerical treatment of partial differential equations, as a great level of precision and accuracy has been obtained on computational grounds.
Iftikhar Ahmad +3 more
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Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions [PDF]
Fractal and Fractional, 2022 The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function, encompassing the fundamental features and important conclusions under natural ...
Gerd Baumann, Norbert Südland
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Uniform approximation to ¦x¦ by Sinc functions [PDF]
Journal of Approximation Theory, 1991 AbstractThe best uniform approximation to the function ¦x¦β, β > 0, on [−1, 1] by any of the standard classes of functions of approximation theory has an asymptotic error of at best O(e−c√n), where n is the dimension of the space of approximating functions.
Keinert, Fritz, Fritz Keinert
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Theory and Computations for the Nonlinear Burgers’ Equation via the Use of Sinc-Galerkin Method [PDF]
Journal of Electrical and Computer Engineering, 2022 In this research, Burgers’ equation, which is well known to be nonlinear partial differential equation, has many applications for studying some physical phenomena in the disciplines we mention, water waves, plasma waves, and ion acoustic plasma waves ...
Anwar Al-Momani, Kamel Al-Khaled
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Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method [PDF]
Sultan Qaboos University Journal for Science, 2015 In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
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Boundary Value ProblemsA numerical method based on sinc functions is developed and examined to approximate the solution of singularly perturbed Fredholm integro-differential equations. This method involves combining sinc basis functions with nonclassical weight functions. With
K. Mohammadi, A. Alipanah
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