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Toplam kayıt 10304, listelenen: 6859-6878
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Numerical approach of high-order linear delay difference equations with variable coefficients in terms of Laguerre polynomials
(Association for Scientific Research, 2011)This paper presents a numerical method for the approximate solution of mthorder linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this ... -
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 ... -
Numerical modeling for the umbrella arch application at the shaft and tunnel intersection
(International Society for Rock Mechanics, 2009)In order to finish urban shallow tunnels (driven by NATM) projects as scheduled shafts should be sunk at certain intervals to form new excavation faces. Entering the tunnel from nearby shafts in addition to the tunnel axis ... -
A numerical scheme for continuous population models for single and interacting species
(2017)Bu makalede, lojistik büyüme modeli, av avcı modeli ve 2-tür Lotka-Volterra yaşama mücadelesi modeli gibi modeller Chebyshev sıralama metodu ile çözülmüştür. Bu lineer olmayan matematiksel modeller Chebyshev açılımı metodu ... -
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 ... -
Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains
(Wiley, 2010)An approximate method for solving higher-order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of ... -
Numerical solution of a modified epidemiological model for computer viruses
(Elsevier Science Inc, 2015)Computer viruses are serious problems for individual and corporate computer systems, and thus many studies have investigated how to avoid their deleterious effects by creating anti-virus programs that act as vaccines in ... -
Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials
(World Scientific Publ Co Pte Ltd, 2017)In this paper, we present a numerical scheme for solving the Abel equation. The approach is based on the shifted Chebyshev polynomials together with operational method. We reduce the problem to a set of nonlinear algebraic ... -
Numerical solution of Burgers' equation with restrictive Taylor approximation
(Elsevier Science Inc, 2005)In this paper, we have applied restrictive Taylor approximation classical explicit finite difference method to the Burgers' equation with a set of initial and boundary conditions to obtain its numerical solution. The ... -
Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method
(Hindawi Ltd, 2013)We have suggested a numerical approach, which is based on an improved Taylor matrix method, for solving Duffing differential equations. The method is based on the approximation by the truncated Taylor series about center ... -
Numerical solution of fractional differential equations using fractional Chebyshev polynomials
(World Scientific, 2021)In this paper, fractional order Chebyshev polynomials are presented and some properties are given. Using definition of fractional order Chebyshev polynomials, we give a numerical scheme for solving fractional differential ... -
Numerical solution of Riccati equation using operational matrix method with Chebyshev polynomials
(World Scientific Publ Co Pte Ltd, 2015)In this paper, we present numerical technique for solving the Riccati equation by using operational matrix method with Chebyshev polynomials. The method consists of expanding the required approximate solution as truncated ...
