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    Wyświetlanie 1-4 z 4
    Tytuł:
    A New Computational Method Based on Laguerre Polynomials for Solving Certain Nonlinear Partial Integro Differential Equations
    Autorzy:
    Gürbüz, B.
    Sezer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031188.pdf
    Data publikacji:
    2017-09
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    nonlinear partial integro-differential equations
    Laguerre polynomials
    matrix and collocation methods
    error estimations
    Opis:
    In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.
    Źródło:
    Acta Physica Polonica A; 2017, 132, 3; 561-563
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Laguerre Polynomial Solutions of a Class of Delay Partial Functional Differential Equations
    Autorzy:
    Gürbüz, B.
    Sezer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031231.pdf
    Data publikacji:
    2017-09
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    Laguerre polynomials and series
    delay partial differential equations with integral terms
    matrix and collocation methods
    error estimations
    Opis:
    In this study, we develop a novel matrix collocation method based on the Laguerre polynomials to find the approximate solutions of some parabolic delay differential equations with integral terms subject to appropriate initial and boundary conditions. The method reduces the solution of the mentioned equations to the solution of a matrix equation which corresponds to system of algebraic equations with unknown Laguerre coefficients. Besides, the error analysis together with numerical results are performed to illustrate the efficiency of our method computationally.
    Źródło:
    Acta Physica Polonica A; 2017, 132, 3; 558-560
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields
    Autorzy:
    Gürbüz, B.
    Sezer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1061583.pdf
    Data publikacji:
    2016-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Gp
    02.30.Hq
    02.70
    Opis:
    In this study, we consider high-order nonlinear ordinary differential equations with the initial and boundary conditions. These kinds of differential equations are essential tools for modelling problems in physics, biology, neurology, engineering, ecology, economy, astrophysics, physiology and so forth. Each of the mentioned problems are described by one of the following equations with the specific physical conditions: Riccati, Duffing, Emden-Fowler, Lane Emden type equations. We seek the approximate solution of these special differential equations by means of a operational matrix technique, called the Laguerre collocation method. The proposed method is based on the Laguerre series expansion and the collocation points. By using the method, the mentioned special differential equations together with conditions are transformed into a matrix form which corresponds to a system of nonlinear algebraic equations with unknown Laguerre coefficients, and thereby the problem is approximately solved in terms of Laguerre polynomials. In addition, some numerical examples are presented to demonstrate the efficiency of the proposed method and the obtained results are compared with the existing results in literature.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 1; 194-197
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Influence of Particle Size and Sintering Temperatures on Electrical Properties of 0.94Na0.5Bi0.5TiO3-0.06BaTiO3 Lead Free Ceramics
    Autorzy:
    Gul, Mert
    Gurbuz, Mevlüt
    Gokceyrek, Abdi B.
    Toktaş, Aysegül
    Kavas, Taner
    Dogan, Aydın
    Powiązania:
    https://bibliotekanauki.pl/articles/353114.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    lead-free
    NBT-BT
    particle size
    sintering
    electrical properties
    Opis:
    In this study, lead-free 0.94 Na0.5 Bi0.5 TiO3 -0.06BaTiO3 (NBT-BT) compositions at morphotropic phase boundary were successfully synthesized by solid-state reaction method. The effects of the particle size for various milling time (12-24-48 hours) and sintering temperatures (1100-1125-1150-1175°C for 2 h) on the electrical properties of the NBT-BT ceramics were evaluated. Experimental results showed that particle size and sintering temperatures significantly affect the electrical properties of NBT-BT ceramics. The particle size of the ceramic powders decreasing while milling time increases to 48 hours. Particle size values for 0, 12, 24 and 48 hours (h) milled powders were measured as nearly 1.5 μm, 1 μm, 700 nm, and 500 nm respectively. The bulk density enhanced with increasing sintering temperature and showed the highest value (5.73 g/cm3) at 1150°C for 48 h milled powder. Similarly, the maximum piezoelectric constant (d33 ) = 105 pC/N, electromechanical coupling coefficient (kp ) = 25.5% and dielectric constant (KT) = 575 were measured at 1150°C for 48 h milled powder. However, mechanical quality factor (Qm ) was reduced from 350 to 175 with decreasing particle size. Similarly, remnant polarization was dropped by decreasing powder particle size from 56 μC/cm2 to 45 μC/cm2.
    Źródło:
    Archives of Metallurgy and Materials; 2020, 65, 2; 609-614
    1733-3490
    Pojawia się w:
    Archives of Metallurgy and Materials
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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