Zobrazeno 1 - 10
of 819
pro vyhledávání: '"Operational matrices"'
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 3, Pp 875-899 (2024)
The presented work introduces a new class of nonlinear optimal control problems in two dimensions whose constraints are nonlinear Ginzburg−Landau equations with fractal−fractional (FF) derivatives. To acquire their ap-proximate solutions, a compu
Externí odkaz:
https://doaj.org/article/5cf24efc47e1424982b43f2cf277ede9
Publikováno v:
Journal of Taibah University for Science, Vol 18, Iss 1 (2024)
The main objective of this study is to present a computationally efficient numerical method for solving fractional-order differential equations with initial conditions. The proposed method is based on the newly developed generalized derivative operat
Externí odkaz:
https://doaj.org/article/a838a64b724c4f1d85bb51859c74b83e
Autor:
M.H. Heydari, M. Razzaghi
Publikováno v:
Results in Applied Mathematics, Vol 23, Iss , Pp 100481- (2024)
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D
Externí odkaz:
https://doaj.org/article/2a5d5f83c25843308df017e32d69c22b
Autor:
Muhammad Usman, Muhammad Hamid, Dianchen Lu, Zhengdi Zhang, Shahram Rezapour, Mohamed Abdelghany Elkotb
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 8, Pp 102859- (2024)
Analytic solutions of nonlinear Volterra-Fredholm integral equations with generalized singular kernel arise in atomic scattering, electron emission, microscopy, radio astronomy, radar ranging, plasma diagnostics, and optical fiber evaluation and foun
Externí odkaz:
https://doaj.org/article/6b736a914f514b4cbe17d9306787eeda
Publikováno v:
Heliyon, Vol 10, Iss 8, Pp e29545- (2024)
In this paper, we consider a differential equation system and present a new method based on Clique polynomials (CP-M) to obtain numerical solutions of this system. The system of differential equations is a mathematical model of a new virus called Cor
Externí odkaz:
https://doaj.org/article/4ee4ad7aa2294af091befcbd96139929
Autor:
Saeed, Umer
Publikováno v:
Engineering Computations, 2023, Vol. 40, Issue 6, pp. 1351-1370.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/EC-12-2022-0711
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2565 (2024)
The main focus in this manuscript is to find a numerical solution of a dengue fever disease model by using the Fibonacci wavelet method. The operational matrix of integration has been obtained using Fibonacci wavelets. The proposed method is called F
Externí odkaz:
https://doaj.org/article/f1e3bafa2e454c0f87fde3fb3f1fd67b
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 964-24 (2024)
This article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize th
Externí odkaz:
https://doaj.org/article/1d7cb454b9aa4309844aad97c636c6f5
Autor:
Fatima Hussain, Suha Shihab
Publikováno v:
Symmetry, Vol 16, Iss 7, p 915 (2024)
This work introduces and studies the important properties of a special class of new symmetry-shifted Gt-olynomials (NSSG). Such polynomials have a symmetry property over the interval [−2, 0], with Gn−2,00=−1nGn−2,0(−2). An explicit formulat
Externí odkaz:
https://doaj.org/article/94c3a3ff10d64d28be7d3854057f1a2f
Publikováno v:
Fractal and Fractional, Vol 8, Iss 7, p 427 (2024)
This paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the time-fractional Burgers equation (TFBE). We first develop the fundamental formulas of these polynomials, which include their power series representation and the
Externí odkaz:
https://doaj.org/article/eed8e621ebc244d79e6171688a64c263