Results 31 to 40 of about 39,512 (228)
Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
The Scientific World Journal, 2022 The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical
Alvaro H. S. Salas
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Expansion in the distance parameter for two vortices close together [PDF]
, 2000 Static vortices close together are studied for two different models in 2-dimen- sional Euclidean space. In a simple model for one complex field an expansion in the parameters describing the relative position of two vortices can be given in terms of ...
Bogomolnyi E. B. +5 more
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Advances in Difference Equations, 2018 In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic ...
Shrideh K Al-Omari
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Classes of new analytical soliton solutions to some nonlinear evolution equations
Results in Physics, 2021 Undoubtedly, all applied sciences are closely corresponding to differential equations, especially partial differential equations. This contribution aims to examine the efficiency of a modified version of the generalized exponential rational function ...
Yan Cao +7 more
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Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
Frontiers in Physics, 2020 A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative.
Amal Alshabanat +3 more
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Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
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Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]
, 2010 In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
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Alexandria Engineering Journal, 2023 In the present work, Einstein's vacuum field equation is investigated analytically to explore the solitary wave solutions. This equation arises in mathematical physics, having meaningful applications in the general theory of relativity.
Mustafa Inc +6 more
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Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions [PDF]
Computers & Mathematics with Applications, 2010 It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula ...
D. Cvijovic
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Communications in Mathematical Biology and Neuroscience, 2023 . Abstract: This paper proposes the Trigonometric Exponential Single-Step Method (TESSM) for the numerical solution of HIV-1 infection model by using an interpolating function that consists of both trigonometric and exponential functions.
S. Fadugba +3 more
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