Başlık için Matematik Bölümü Koleksiyonu listeleme
Toplam kayıt 107, listelenen: 48-67
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Network-Induced Soft Sets and Stock Market Applications
(MDPI, 2022)The intricacy of the financial systems reflected in bilateral ties has piqued the interest of many specialists. In this research, we introduce network-induced soft sets, a novel mathematical model for studying the dynamics ... -
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 ... -
New Numerical Approach for Solving Abel's Integral Equations
(WALTER DE GRUYTER GMBH, 2021)In this article, we present an efficient method for solving Abel's integral equations. This important equation is consisting of an integral equation that is modeling many problems in literature. Our proposed method is based ... -
A NEW NUMERICAL SCHEME FOR SOLVING THE TWO DIMENSIONAL FRACTIONAL DIFFUSION EQUATION
(CZESTOCHOWA UNIV TECHNOLOGY, 2021)In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order a. The rate of convergence ... -
New Wave Simulations to the (3+1)-Dimensional Modified Kdv-Zakharov-Kuznetsov Equation
(Amer Inst Physics, 2017)In this study, we apply an effective method which is improved Bernoulli sub-equation function method (IBSEFM) to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. It gives some new wave simulations such as ... -
A NOTE ON SOFT MODULES
(Ankara Univ, Fac Sci, 2017)In this paper, essential soft submodule and complement of a soft submodule in a soft module are defined. The basic properties of such soft submodules are obtained. The notion of complement of soft submodules on soft modules ... -
Novel Graph Neighborhoods Emerging from Ideals
(MDPI, 2023)Rough set theory is a mathematical approach that deals with the problems of uncertainty and ambiguity in knowledge. Neighborhood systems are the most effective instruments for researching rough set theory in general. ... -
A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation
(Taylor and Francis Ltd., 2023)A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts ... -
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. ... -
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 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 ... -
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 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 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 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 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 ... -
Numerical solution the fractional Bagley-Torvik equation arising in fluid mechanics
(Taylor & Francis Ltd, 2017)In this paper, we present a numerical solution method which is based on Taylor Matrix Method to give approximate solution of the Bagley-Torvik equation. Given method is transformed the Bagley-Torvik equation into a system ... -
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 ...
