Başlık için WoS İndeksli Yayınlar Koleksiyonu listeleme
Toplam kayıt 6466, listelenen: 4389-4408
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A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations
(Elsevier B.V., 2023)In this paper, we apply the Bernstein collocation method to construct the solution set of the Sylvester matrix differential equation (Sy-MDE) which involves the Lyapunov matrix differential equation. The method depends on ... -
A numerical approach for solving a class of the nonlinear Lane-Emden type equations arising in astrophysics
(Wiley, 2011)In this paper, a collocation method based on the Bessel polynomials is presented for the approximate solution of a class of the nonlinear Lane-Emden type equations, which have many applications in mathematical physics. The ... -
Numerical approach for solving fractional Fredholm integro-differential equation
(Taylor & Francis Ltd, 2013)In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the ... -
Numerical approach for solving fractional relaxation-oscillation equation
(Elsevier Science Inc, 2013)In this study, we will obtain the approximate solutions of relaxation-oscillation equation by developing the Taylor matrix method. A relaxation oscillator is a kind of oscillator based on a behavior of physical system's ... -
A numerical approach for solving generalized Abel-type nonlinear differential equations
(Elsevier Science Inc, 2015)In this paper, a numerical power series algorithm which is based on the improved Taylor matrix method is introduced for the approximate solution of Abel-type differential equations and also, Riccati differential equations. ... -
A numerical approach for solving initial-boundary value problem describing the process of cooling of a semi-infinite body by radiation
(Elsevier Science Inc, 2013)In this article, we have introduced a Taylor collocation method, which is based on collocation method for solving initial-boundary value problem describing the process of cooling of a semi-infinite body by radiation. This ... -
Numerical approach for solving linear Fredholm integro-differential equation with piecewise intervals by Bernoulli polynomials
(Taylor & Francis Ltd, 2018)In this paper a numerical method is given for the solution of linear Fredholm integro-differential equation (FIDE) with piecewise intervals under the mixed conditions using the Bernoulli polynomials. The aim of this article ... -
A numerical approach for solving the high-order linear singular differential-difference equations
(Pergamon-Elsevier Science Ltd, 2011)In this paper, a numerical method which produces an approximate polynomial solution is presented for solving the high-order linear singular differential-difference equations. With the aid of Bessel polynomials and collocation ... -
A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays
(Elsevier Science Bv, 2017)In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation ... -
Numerical approach for the solution of hypersingular integro-differential equations
(Elsevier Science Inc, 2014)The main purpose of this article is to present an approximation method of hypersingular integro-differential equations in the most general form under the mixed conditions in terms of the second kind Chebyshev polynomials. ... -
A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials
(World Scientific Publ Co Pte Ltd, 2018)In this study, we have considered the linear classes of differential-(difference), integro-differential-(difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, ... -
A numerical approach to solve the model for HIV infection of CD4(+)T cells
(Elsevier Science Inc, 2012)In this study, we will obtain the approximate solutions of the HIV infection model of CD4(+)T by developing the Bessel collocation method. This model corresponds to a class of nonlinear ordinary differential equation ... -
A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations
(Pergamon-Elsevier Science Ltd, 2012)In this study, a collocation method based on the Bessel functions of first kind is given for the approximate solutions of the Riccati differential-difference equations under the mixed condition. The method is presented ... -
A numerical approximation for Volterra's population growth model with fractional order
(Elsevier Science Inc, 2013)This paper presents a numerical scheme for approximate solutions of the fractional Volterra's model for population growth of a species in a closed system. In fact, the Bessel collocation method is extended by using the ... -
A numerical method to solve a class of linear integro-differential equations with weakly singular kernel
(Wiley, 2012)In this paper, a collocation method based on the Bessel polynomials is introduced for the approximate solution of a class of linear integro-differential equations with weakly singular kernel under the mixed conditions. The ... -
A numerical method to solve fractional pantograph differential equations with residual error analysis
(SPRINGER HEIDELBERG, 2021)In this study, we have introduced a fractional series solution method to solve fractional pantograph differential equations numerically. The method is constructed by collocation approach and Bernstein polynomials. Each ... -
A numerical scheme for solutions of the Chen system
(Wiley-Blackwell, 2012)In this paper, we will develop the Bessel collocation method to find approximate solutions of the Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This scheme consists of reducing the ... -
A Numerical Scheme for Time-Fractional Fourth-Order Reaction-Diffusion Model
(CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS, 2023)In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth ... -
Numerical simulation of heat conduction for the growth of anisotropic layered GaSe crystals
(Wiley-V C H Verlag Gmbh, 2004)In this report, we present the usage of a second rank cylindrical conductivity tensor which we derived to simulate the crystal growth processes of a layered compound GaSe in a cylindrical enclosure by directional solidification. ... -
Numerical simulations of landslide-stabilizing piles: a remediation project in Soke, Turkey
(Springer, 2017)A catastrophic landslide following a rainy season occurred in the backyard of a school building in Soke, Turkey. The landslide caused property damage and adversely affected the present forest cover. Immediately after the ...
