Results 21 to 30 of about 3,603,035 (255)
Partial Differential Equations in Applied MathematicsThis paper utilizes the quartic B-spline method for the numerical resolution of time-fractional partial differential equations. The fractional Caputo derivative is employed to depict anomalous diffusion processes influenced by memory effects.
Fahad K. Nashmi, Bushra A. Taha
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Mathematics, 2023 In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo +4 more
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On a quartic diophantine equation [PDF]
Proceedings of the Edinburgh Mathematical Society, 1996 In this paper we consider the quartic diophantine equation 3(y2 – 1) = 2x2(x2 – 1) in integers x and y. We show that this equation does not have any other solutions (x, y) with x≧0 than those given by x = 0,1,2,3,6,91. Two approaches are emphasized, one based on diophantine approximation techniques, the other depends on the structure of certain quartic
Stroeker, RJ (Roel) +1 more
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A Story of Computational Science: Colonel Titus’ Problem from the 17th Century
Axioms, 2022 Experimentation and the evaluation of algorithms have a long history in algebra. In this paper we follow a single test example over more than 250 years.
Trond Steihaug
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Results in Physics, 2023 The main objective of this paper is to study the chaotic behavior and embedded soliton of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise.
Zhao Li, Xue Zhang, Fang Miao
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On the number of solutions of two-variable diagonal quartic equations over finite fields
, 2020 Let $p$ be a odd prime number and let $\mathbb{F}_q$ be the finite field of characteristic $p$ with $q$ elements. In this paper, by using the Gauss sum and Jacobi sum, we give an explicit formula for the number $N(x_1^4+x_2^4=c)$ of solutions of the ...
Junyong Zhao, Yang Zhao, Yujun Niu
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General Cubic‐Quartic Functional Equation [PDF]
Abstract and Applied Analysis, 2011 We obtain the general solution and the generalized Hyers‐Ulam stability of the general cubic‐quartic functional equation for fixed integerskwithk≠ 0, ±1:f(x+ky) +f(x−ky) =k2(f(x+y) +f(x−y)) + 2(1 −k2)f(x)+((k4−k2)/4)(f(2y) − 8f(y)), where .
M. Eshaghi Gordji +2 more
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Quadratic diophantine equations with applications to quartic equations [PDF]
, 2014 In this paper we first show that, under certain conditions, the solution of a single quadratic diophantine equation in four variables $Q(x_1,\,x_2,\,x_3,\,x_4)=0$ can be expressed in terms of bilinear forms in four parameters.
A. Choudhry
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Difference Equations and Julia Sets of Several Functions for Degenerate q-Sigmoid Polynomials
Fractal and Fractional, 2023 In this article, we construct a new type of degenerate q-sigmoid (DQS) polynomial for sigmoid functions containing quantum numbers and find several difference equations related to it.
Jung-Yoog Kang, Cheon-Seoung Ryoo
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A New Development of the Classical Single Ladder Problem via Converting the Ladder to a Staircase
Mathematics, 2021 Our purpose is to shed some new light on problems arising from a study of the classical Single Ladder Problem (SLP). The basic idea is to convert the SLP to a corresponding Single Staircase Problem.
Ralph Høibakk +3 more
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