Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Amr Kamel"'
Autor:
A. Z. Amin, M. A. Abdelkawy, Amr Kamel Amin, António M. Lopes, Abdulrahim A. Alluhaybi, I. Hashim
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 20871-20891 (2023)
Integral equations play a crucial role in many scientific and engineering problems, though solving them is often challenging. This paper addresses the solution of multi-dimensional systems of mixed Volterra-Fredholm integral equations (SMVF-IEs) by m
Externí odkaz:
https://doaj.org/article/9afcae85f74541e6b95c3eb8d0f279df
Publikováno v:
AIMS Mathematics, Vol 7, Iss 7, Pp 12962-12980 (2022)
This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas, F
Externí odkaz:
https://doaj.org/article/87c49577ff684bdeb69204f266fa1f4d
Publikováno v:
Journal of King Saud University: Computer and Information Sciences, Vol 34, Iss 4, Pp 1498-1510 (2022)
The Internet of Things (IoT) is a model where devices and applications interact together to provide smart services in different contexts like smart homes, or smart vehicles. One of the challenges of IoT is the diversity of vendors who provide the IoT
Externí odkaz:
https://doaj.org/article/2789f0022f5342e69228ad18ef9de7e0
Publikováno v:
Fractal and Fractional, Vol 7, Iss 9, p 652 (2023)
In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE). We introduce a new set of orthogonal polyno
Externí odkaz:
https://doaj.org/article/aec6db8bded945f28a41342ac3f09df5
Publikováno v:
Symmetry, Vol 15, Iss 2, p 345 (2023)
The primary focus of this article is on applying specific generalized Jacobi polynomials (GJPs) as basis functions to obtain the solution of linear and non-linear even-order two-point BVPs. These GJPs are orthogonal polynomials that are expressed as
Externí odkaz:
https://doaj.org/article/de306eda256545f2afda87b77aea7b78
Publikováno v:
Axioms, Vol 12, Iss 2, p 99 (2023)
This paper is devoted to proposing numerical algorithms based on the use of the tau and collocation procedures, two widely used spectral approaches for the numerical treatment of the initial high-order linear and non-linear equations of the singular
Externí odkaz:
https://doaj.org/article/4ea6b7b9abce40d6a39e5f964ca27acd
Publikováno v:
Mathematics, Vol 11, Iss 2, p 468 (2023)
This paper explores the Schröder polynomials, a class of polynomials that produce the famous Schröder numbers when x=1. The three-term recurrence relation and the inversion formula of these polynomials are a couple of the fundamental Schröder poly
Externí odkaz:
https://doaj.org/article/7c1089e321f14473b0140c8ecd0abcce
Publikováno v:
Symmetry, Vol 15, Iss 1, p 138 (2023)
This article proposes a numerical algorithm utilizing the spectral Tau method for numerically handling the Kawahara partial differential equation. The double basis of the fifth-kind Chebyshev polynomials and their shifted ones are used as basis funct
Externí odkaz:
https://doaj.org/article/941b2f60360647349559e6756829c238
Publikováno v:
Axioms, Vol 11, Iss 12, p 743 (2022)
The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics a
Externí odkaz:
https://doaj.org/article/66404e5fb91f402ebaabf61f9cea8e5e
Publikováno v:
Symmetry, Vol 14, Iss 11, p 2284 (2022)
This paper presents new results of Bernoulli polynomials. New derivative expressions of some celebrated orthogonal polynomials and other polynomials are given in terms of Bernoulli polynomials. Hence, some new connection formulas between these polyno
Externí odkaz:
https://doaj.org/article/819b58bafa4e464fbc68ce3372e0b9f2