Kurum Yazarı "Sezer, Mehmet" İçin Listeleme
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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 ... -
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 ... -
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 ... -
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 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. ...