Temat: wielomiany Czebyszewa - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A geometric property of the roots of Chebyshev polynomials
Autorzy:: Wituła, R.
Hetmaniok, E.
Słota, D.
Powiązania:: https://bibliotekanauki.pl/articles/122383.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Chebyshev polynomials
Vieta-Lucas polynomials
wielomiany Czebyszewa
wielomiany Vieta-Lucasa
Opis:: In this text a new property of geometric nature of the Chebyshev polynomials is given. It is proven that the lengths of diagonals of a regular n-gon with the side of length equal to one are the sums of positive roots of the respective renormalized Chebyshev polynomials of one from among four types. Some new special decompositions of differences of values of the Chebyshev polynomials are also presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 143-148
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some conjectures regarding tridiagonal matrices
Autorzy:: Fonseca, C. M.
Powiązania:: https://bibliotekanauki.pl/articles/122982.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: tridiagonal matrices
determinant
permanent
Chebyshev polynomials of second kind
macierz trójdiagonalna
wielomiany Czebyszewa
wyznacznik
Opis:: We discuss several conjectures proposed recently by A.Z. Küçük and M. Düz on the permanent of certain type of tridiagonal matrices. We recall some less known results on tridiagonal matrices and, at the same time, bring other results together to a common framework.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 13-17
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Non-linear unsteady inverse boundary problem for heat conduction equation
Autorzy:: Joachimiak, M.
Ciałkowski, M.
Powiązania:: https://bibliotekanauki.pl/articles/239945.pdf
Data publikacji:: 2017
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: inverse problem
sensitivity of solution to inverse problem
application of Chebyshev polynomials
zagadnienie odwrotne
wrażliwość rozwiązania
wielomiany Czebyszewa
zastosowanie
Opis:: Direct and inverse problems for unsteady heat conduction equation for a cylinder were solved in this paper. Changes of heat conduction coefficient and specific heat depending on the temperature were taken into consideration. To solve the non-linear problem, the Kirchhoff’s substitution was applied. Solution was written as a linear combination of Chebyshev polynomials. Sensitivity of the solution to the inverse problem with respect to the error in temperature measurement and thermocouple installation error was analysed. Temperature distribution on the boundary of the cylinder, being the numerical example presented in the paper, is similar to that obtained during heating in the nitrification process.
Źródło:: Archives of Thermodynamics; 2017, 38, 2; 81-100
1231-0956
2083-6023
Pojawia się w:: Archives of Thermodynamics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Numerical solution of two-dimensional Fredholm integro-differential equations by Chebyshev integral operational matrix method
Autorzy:: Ishola, Christie Yemisi
Taiwo, Omotayo Adebayo
Adebisi, Ajimot Folasade
Peter, Olumuyiwa James
Powiązania:: https://bibliotekanauki.pl/articles/2175510.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Chebyshev polynomials
operational matrix
two-dimensional
Fredholm integro-differential equations
wielomiany Czebyszewa
macierz operacyjna
modele dwuwymiarowe
równanie całkowo-różniczkowe Fredholma
Opis:: This paper presents the Chebyshev Integral Operational Matrix Method (CIOMM) for the numerical solution of two-dimensional Fredholm Integro-Differential Equations (2D-FIDEs). The process of the method is obtaining the operational matrix of integration by evaluating a 2D integral of 2D Chebyshev polynomial basis functions and assuming approximate solutions of the 2D-FIDEs as a truncated 2D Chebyshev series. This leads to a system of linear algebraic equations which are solved to obtain the values of the unknown constants using Maple 18. Some numerical problems are solved to illustrate the practicability of the method.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 1; 29--40
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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