Matematik Bölümü Koleksiyonu: Recent submissions
Now showing items 61-80 of 107
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Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases
(Pergamon-Elsevier Science Ltd, 2011)In this paper, a numerical matrix method based on collocation points is presented for the approximate solution of the systems of high-order linear Fredholm integro-differential equations with variable coefficients under ... -
A collocation method using Hermite polynomials for approximate solution of pantograph equations
(Pergamon-Elsevier Science Ltd, 2011)In this paper, a numerical method based on polynomial approximation, using Hermite polynomial basis, to obtain the approximate solution of generalized pantograph equations with variable coefficients is presented. The ... -
A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations
(Gazi Univ, 2012)The purpose of this study is to present a method for solving high order linear Fredholm-Volterra integrodifferential equations in terms of Chebyshev polynomials under the mixed conditions. The method is based on the ... -
A Bessel collocation method for numerical solution of generalized pantograph equations
(Wiley, 2012)This article is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, we introduce a collocation method based ... -
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 ... -
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 ... -
A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation
(Hindawi Ltd, 2013)A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared ... -
Numerical solution of the Bagley-Torvik equation by the Bessel collocation method
(Wiley-Blackwell, 2013)In this article, a numerical technique is presented for the approximate solution of the BagleyTorvik equation, which is a class of fractional differential equations. The basic idea of this method is to obtain the approximate ... -
Maximal, irreducible and prime soft ideals of BCK/BCI-algebra
(Hacettepe Univ, Fac Sci, 2015)In this paper, the notions of soft irreducible, prime and maximal soft ideals, irreducible, prime and maximal soft idealistic over on BCK/BCI-algebras are introduced, and several examples are given to illustrate. Relations ... -
Mathematical Morphology on Soft Sets for Application to Metabolic Networks
(Springer-Verlag Berlin, 2015)In this paper, we introduce mathematical morphological operators such as dilation and erosion on soft sets. Rather than the common approach which is based on expressing soft set analogues of the classical theory, we use ... -
Curvature of curves parameterized by a time scale
(Pushpa Publishing House, 2015)Curvature is a fundamental characteristic of curves in differential geometry, as well as in discrete geometry. In this paper we present time scales analogy of the curvature defined by the concept of symmetric derivative ... -
Numerical analysis of Backward-Euler discretization for simplified magnetohydrodynamic flows
(Elsevier Science Inc, 2015)Magnetohydrodynamics (MHD) studies consider the dynamics of electrically conducting fluids. MHD are described by a set of equations, which are a combination of the Navier-Stokes equations of fluid dynamics and Maxwell'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. ... -
Error analysis of the Chebyshev collocation method for linear second-order partial differential equations
(Taylor & Francis Ltd, 2015)The purpose of this study is to apply the Chebyshev collocation method to linear second-order partial differential equations (PDEs) under the most general conditions. The method is given with a priori error estimate which ... -
Almost strongly theta-e-continuous functions
(Int Scientific Research Publications, 2016)We introduce and investigate a new class of functions called almost strongly theta-e-continuous functions, containing the classes of almost strongly theta-precontinuous [J. H. Park, S. W. Bae, Y. B. Park, Chaos Soli tons ... -
Dark and new travelling wave solutions to the nonlinear evolution equation
(Elsevier Gmbh, 2016)Obtaining new and important travelling wave solutions of wave propagation modelling of waves such as nonlinear optics models, propagation and transmission models of waves by using different methods plays an important role ... -
Application of Homotopy Perturbation Sumudu Transform Method to Linear and Nonlinear Schrodinger Equations
(Amer Inst Physics, 2016)In this paper, the methods of homotopy perturbation sumudu transform is mentioned. Linear and nonlinear Schrodinger equations is solved HPSTM and obtained exact solutions. -
Hyperpath Centers
(Springer-Verlag Berlin, 2016)Path centers play an important role for several kinds of networks. In this study we present a novel approach to find a path center for a spatial data set modelled as a hypergraph. For this purpose, we first present a simple ... -
Prototype traveling wave solutions of new coupled Konno-Oono equation
(Elsevier Gmbh, 2016)In this study, we apply the modified exp (-Omega (xi))-expansion function method to the new coupled Konno-Oono equation. We obtain some new travelling wave solutions such as complex function, hyperbolic function and rational ... -
Almost e*-continuous functions and their characterizations
(Int Scientific Research Publications, 2016)The main goal of this paper is to introduce and investigate a new class of functions called almost e*-continuous functions containing the class of almost e-continuous functions defined by Ozkoc and Kma. Several characterizations ...
