Results 51 to 60 of about 1,910 (137)

Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials

JTAM (Jurnal Teori dan Aplikasi Matematika)
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika, Fransiskus Fran, Yundari Yundari   +2 more
doaj   +1 more source

Generalized Chebyshev Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2018
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
doaj   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, Volume 16, Issue 39, 21 October 2026.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Complex Factorizations of the Lucas Sequences via Matrix Methods

Journal of Applied Mathematics, 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj   +1 more source

Chebyshev polynomials and their some interesting applications

Advances in Difference Equations, 2017
The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj   +1 more source

A Novel Orthogonal TU¯ Chebyshev Polynomial Basis for High-Accuracy Solution of Fractional Integro-Differential Equations

Journal of Mathematics
The main question addressed in this study is whether a newly constructed orthogonal basis, which is a combination of first- and second-kind Chebyshev polynomials, can provide a more accurate and efficient numerical method for solving fractional integro ...
Samiye Akhlaghi, Maryam Bahmanpour, Majid Tavassoli Kajani   +2 more
doaj   +1 more source

Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

Boundary Value Problems
This paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem, Dina Abdelhamied, M. El-Kady, Y. H. Youssri   +3 more
doaj   +1 more source

Fast algorithm and new potential formula represented by Chebyshev polynomials for an [Formula: see text] globe network. [PDF]

Sci Rep, 2022
Zhou Y, Zheng Y, Jiang X, Jiang Z.
europepmc   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method

Ain Shams Engineering Journal, 2018
In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad, Hojatollah Adibi, Saeed Kazem   +2 more
doaj   +1 more source