Results 211 to 220 of about 24,811,169 (263)

A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

International Journal of Computational Mathematics, 2021
An algorithm based on a class of the Chebyshev polynomials family called the fifth-kind Chebyshev polynomials (FCPs) is introduced to solve the multi-term variable-order time-fractional diffusion-wave equation (MVTFD-WE).
K. Sadri, H. Aminikhah
semanticscholar   +1 more source

Chebyshev Polynomial Based Emergency Conditions With Authentication Scheme for 5G-Assisted Vehicular Fog Computing

IEEE Transactions on Dependable and Secure Computing
Supporting vehicular emergency applications requires fast access to infrastructure so vehicles can call for help. Because of their environment's poor wireless qualities, vehicle infrastructure communication paths lack security.
Mahmood A. Al-Shareeda, Tarek Gaber, M. Alqarni, M. Alkinani, Alaa Atallah Almazroey, A. Almazroi   +5 more
semanticscholar   +1 more source

Chebyshev and Descartes Systems

1995
A Chebyshev space is a finite-dimensional subspace of C(A) of dimension n + 1 that has the property that any element that vanishes at n + 1 points vanishes identically. Such spaces, whose prototype is the space P n of real algebraic polynomials of degree at most n, share with the polynomials many basic properties.
Peter Borwein, Tamás Erdélyi
openaire   +1 more source

The Chebyshev collocation method for a class of time fractional convection‐diffusion equation with variable coefficients

Mathematical methods in the applied sciences, 2021
In this paper, an efficient and accurate computational scheme based on the Chebyshev collocation method and finite difference approximation is proposed to solve the time‐fractional convection‐diffusion equation (TFCDE) on a finite domain.
V. Saw, S. Kumar
semanticscholar   +1 more source

On sets admitting chebyshev vector systems

Mathematical Notes of the Academy of Sciences of the USSR, 1977
We study the topological properties of compacta on which exist vector (with values in space Rs) systems of Chebyshev functions or systems having a given Chebyshev rank. The lengths of the systems are assumed to be multiples of but not equal to the number s. A compactum on which a Chebyshev system exists is embedded into space Rs.
openaire   +3 more sources

Dynamic response and sensitivity analysis for mechanical systems with clearance joints and parameter uncertainties using Chebyshev polynomials method

, 2020
A mechanical system with clearance joints exhibits non-linear characteristics. Even a small variation of one parameter may lead to a drastic change of the overall system response.
Wuweikai Xiang, Shaoze Yan, Jianing Wu, W. Niu   +3 more
semanticscholar   +1 more source

Extended Chebyshev Systems on $( - \infty ,\infty )$

SIAM Journal on Mathematical Analysis, 1974
Let $0 \leqq t_0 < t_1 < \cdots < t_m $ be a sequence of integers. Necessary and sufficient conditions are obtained for $\{ x^{t_0 } ,x^{t_1 } , \cdots ,x^{t_m } \} $ to form an extended Chebyshev system of order $n + 1$ on $( - \infty ,\infty )$.
openaire   +2 more sources

Pseudospectral method for solving fractional Sturm-Liouville problem using Chebyshev cardinal functions

Physica Scripta, 2021
This work deals with the pseudospectral method to solve the Sturm-Liouville eigenvalue problems with Caputo fractional derivative using Chebyshev cardinal functions.
Alireza Afarideh, F. Dastmalchi Saei, M. Lakestani, behzad nemati saray   +3 more
semanticscholar   +1 more source

Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method

Journal of Computational and Applied Mathematics, 2020
In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integro-differential equations (V-OFNQIDEs).
A. Babaei, H. Jafari, S. Banihashemi
semanticscholar   +1 more source

A test for Chebyshev systems

Mathematical Notes of the Academy of Sciences of the USSR, 1986
A criterion for the existence of polynomials with a priori given roots (in that a sign is changed or not) depending on a number of functions contained in the system in question and its parity is given.
openaire   +1 more source