Browsing Matematik Bölümü Koleksiyonu by Author "Sezer, Mehmet"
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Approximate solution of multi-pantograph equation with variable coefficients
Sezer, Mehmet; Yalçınbaş, Salih; Şahin, Niyazi (Elsevier, 2008)This paper deals with the approximate solution of multi-pantograph equation with nonhomogenous term in terms of Taylor polynomials. The technique we have used is based on a Taylor matrix method. In addition, some numerical ... -
A Bessel collocation method for numerical solution of generalized pantograph equations
Yüzbaşı, Şuayip; Şahin, Niyazi; Sezer, Mehmet (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 Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations
Yüksel, Gamze; Gülsu, Mustafa; Sezer, Mehmet (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 collocation method using Hermite polynomials for approximate solution of pantograph equations
Yalçınbaş, Salih; Aynıgül, Müge; Sezer, Mehmet (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 ... -
Error analysis of the Chebyshev collocation method for linear second-order partial differential equations
Yüksel, Gamze; Işık, Osman Raşit; Sezer, Mehmet (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 ... -
Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations
Balcı, Mehmet Ali; Sezer, Mehmet (Elsevier Science Inc, 2016)The main purpose of this paper is to present a numerical method to solve the linear Fredholm integro-differential difference equations with constant argument under initial-boundary conditions. The proposed method is based ... -
Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
Yalçınbaş, Salih; Sezer, Mehmet; Sorkun, Hüseyin Hilmi (Elsevier Science Inc, 2009)In this study, a Legendre collocation matrix method is presented to solve high-order Linear Fredholm integro-differential equations under the mixed conditions in terms of Legendre polynomials. The proposed method converts ... -
A MODIFIED TAYLOR COLLOCATION METHOD FOR PANTOGRAPH TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HYBRID PROPORTIONAL AND VARIABLE DELAYS
Gökmen, Elçin; Sezer, Mehmet (Muğla Sıtkı Koçman Üniversitesi Fen Bilimleri Enstitüsü, 2020)In this work, high order pantograph type linear functional differential equations with hybrid proportional and variable delays is approximately solved by the modified Taylor matrix method. With this method these functional ... -
A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation
Bülbül Aslan, Berna; Sezer, Mehmet (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 ... -
A numerical approach for solving generalized Abel-type nonlinear differential equations
Bülbül, Berna; Sezer, Mehmet (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 Volterra type functional integral equations with variable bounds and mixed delays
Gökmen, Elçin; Yüksel, Gamze; Sezer, Mehmet (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
Kürkçü, Ömür Kıvanç; Aslan, Ersin; Sezer, Mehmet; İlhan, Özgül (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, ... -
Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method
Bülbül Aslan, Berna; Sezer, Mehmet (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 solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases
Yüzbaşı, Şuayip; Şahin, Niyazi; Sezer, Mehmet (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 numerical technique for solving functional integro-differential equations having variable bounds
Gökmen, Elçin; Gürbüz, Burcu; Sezer, Mehmet (Springer Heidelberg, 2018)In this paper, a collocation method based on Taylor polynomials is presented to solve the functional delay integro-differential equations with variable bounds. Using this method, we transform the functional equations to a ... -
Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
Kurt, Nurcan; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2008)In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms ... -
A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
Sezer, Mehmet; Akyüz-Daşçıoğlu, Ayşegül (Elsevier Science Bv, 2007)This paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this paper, we introduce a numerical method based on the ... -
A Taylor polynomial approach for solving differential-difference equations
Gülsu, Mustafa; Sezer, Mehmet (Elsevier Science Bv, 2006)The purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear differential-difference equations with variable coefficients under the mixed conditions about any point. For this ... -
A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
Sezer, Mehmet; Yalçınbaş, Salih; Gülsu, Mustafa (Taylor & Francis Ltd, 2008)A numerical method for solving the generalized ( retarded or advanced) pantograph equation with constant and variable coefficients under mixed conditions is presented. The method is based on the truncated Taylor polynomials. ...