Yazar "Sezer, Mehmet" için listeleme
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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 ... -
A Hermite Collocation Method for the Approximate Solutions of High-Order Linear Fredholm Integro-Differential Equations
Akgonullu, Nilay; Sahin, Niyazi; Sezer, Mehmet (Wiley, 2011)In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed ... -
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 ... -
An improved Bessel collocation method with a residual error function to solve a class of Lane-Emden differential equations
Yuzbasi, Suayip; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2013)In this study, the modified Bessel collocation method is presented to obtain the approximate solutions of the linear Lane-Emden differential equations. The method is based on the improvement of the Bessel polynomial solutions ... -
Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations
Yuzbasi, Suayip; Gok, Emrah; Sezer, Mehmet (Wiley, 2014)In this study, a practical matrix method based on Laguerre polynomials is presented to solve the higher-order linear delay differential equations with constant coefficients and functional delays under the mixed conditions. ... -
Laguerre polynomial approach for solving linear delay difference equations
Gulsu, Mustafa; Gurbuz, Burcu; Ozturk, Yalcin; Sezer, Mehmet (Elsevier Science Inc, 2011)This paper presents a numerical method for the approximate solution of mth-order linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this ... -
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 matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials
Guelsu, Mustafa; Sezer, Mehmet; Tanay, Bekir (Pergamon-Elsevier Science Ltd, 2006)A numerical method for solving the higher order linear difference equations with variable coefficients and mixed argument under the mixed conditions is presented. The method is based on the hybrid Legendre and Taylor ... -
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 ... -
Müntz-Legendre Polynomıal Solutıons of Lınear Delay Fredholm Integro-Dıfferentıal Equatıons And Resıdual Correctıon
Yüzbaşı, Şuayip; Gök, Emrah; Sezer, Mehmet (2013)In this paper, we consider the Mü ntz-Legendre polynomial solutions of the linear delay Fredholm integro-differential equations and residual correction. Firstly, the linear delay Fredholm integro-differential equations ... -
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 new Chebyshev polynomial approximation for solving delay differential equations
Gulsu, Mustafa; Ozturk, Yalcin; Sezer, Mehmet (Taylor & Francis Ltd, 2012)The purpose of this study is to give a Chebyshev polynomial approximation for the solution of mth-order linear delay differential equations with variable coefficients under the mixed conditions. For this purpose, a new ... -
A new collocation method for solution of mixed linear integro-differential-difference equations
Gulsu, Mustafa; Ozturk, Yalcin; Sezer, Mehmet (Elsevier Science Inc, 2010)Numerical solution of mixed linear integro-differential-difference equation is presented using Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving mixed linear ... -
A New Hermite Collocation Method for Solving Differential Difference Equations
Gulsu, Mustafa; Yalman, Hatice; Ozturk, Yalcin; Sezer, Mehmet (Prairie View A & M Univ, Dept Mathematics, 2011)The purpose of this study is to give a Hermite polynomial approximation for the solution of m(th) order linear differential-difference equations with variable coefficients under mixed conditions. For this purpose, a new ... -
A New Taylor Collocation Method for Nonlinear Fredholm-Volterra Integro-Differential Equations
Bulbul, Berna; Gulsu, Mustafa; Sezer, Mehmet (Wiley, 2010)The aim of this article is to present an efficient numerical procedure for solving nonlinear integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential ... -
Numeric solutions for the pantograph type delay differential equation using First Boubaker polynomials
Akkaya, Tugce; Yalcinbas, Salih; Sezer, Mehmet (Elsevier Science Inc, 2013)A numerical method is applied to solve the pantograph equation with proportional delay under the mixed conditions. The method is based on the truncated First Boubaker series. The solution is obtained in terms of First ... -
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, ... -
A numerical method to solve a class of linear integro-differential equations with weakly singular kernel
Yuzbasi, Suayip; Sezer, Mehmet (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 ...