Yazar "Sezer, Mehmet" için listeleme
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Approximate solution of complex differential equations for a rectangular domain with Taylor collocation method
Sezer, Mehmet; Gulsu, Mustafa (Elsevier Science Inc, 2006)In this study, Taylor collocation method is investigated for the approximate computation of high-order linear complex differential equations. Using the collocation points on any rectangular domain in the complex plane, the ... -
APPROXIMATE SOLUTION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS BY MEANS OF A NEW RATIONAL CHEBYSHEV COLLOCATION METHOD
Yalcinbas, Salih; Ozsoy, Nesrin; Sezer, Mehmet (Assoc Sci Res, 2010)In this paper, a new approximate method for solving higher-order linear ordinary differential equations with variable coefficients under the mixed conditions is presented. The method is based on the rational Chebyshev (RC) ... -
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 ... -
Approximate solution to linear complex differential equation by a new approximate approach
Gulsu, Mustafa; Sezer, Mehmet (Elsevier Science Inc, 2007)The purpose of this study is to give a Taylor polynomial approximation for the solution of high-order linear complex differential equations with variable coefficients and mixed conditions about any point. For this purpose, ... -
Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order
Gulsu, Mustafa; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2006)There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically ... -
Bernstein Series Solution of a Class of Lane-Emden Type Equations
Işık, Osman Raşit; Sezer, Mehmet (Hindawi Ltd, 2013)The purpose of this study is to present an approximate solution that depends on collocation points and Bernstein polynomials for a class of Lane-Emden type equations with mixed conditions. The method is given with some ... -
Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Elsevier Science Inc, 2011)In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact ... -
Bernstein series solution of linear second-order partial differential equations with mixed conditions
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Wiley, 2014)The purpose of this study is to present a new collocation method for numerical solution of linear PDEs under the most general conditions. The method is given with a priori error estimate. By using the residual correction ... -
Bernstein series solutions of pantograph equations using polynomial interpolation
Isik, Osman Rasit; Guney, Zekeriya; Sezer, Mehmet (Taylor & Francis Ltd, 2012)In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of the pantograph-type differential equations with retarded case or advanced case. In addition, the ... -
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 Bessel polynomial approach for solving general linear Fredholm integro-differential-difference equations
Sahin, Niyazi; Yuzbasi, Suayip; Sezer, Mehmet (Taylor & Francis Ltd, 2011)In this paper, to find an approximate solution of general linear Fredholm integro-differential-difference equations (FIDDEs) under the initial-boundary conditions in terms of the Bessel polynomials, a practical matrix ... -
Bessel polynomial solutions of high-order linear Volterra integro-differential equations
Yuzbasi, Suayip; Sahin, Niyazi; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2011)In this study, a practical matrix method, which is based on collocation points, is presented to find approximate solutions of high-order linear Volterra integro-differential equations (VIDEs) under the mixed conditions in ... -
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 Chebyshev Series Approximation for Linear SecondOrder Partial Differential Equations with Complicated Conditions
Yuksel, Gamze; Sezer, Mehmet (Gazi Univ, 2013)The purpose of this study is to present a new collocation method for the solution of second-order, linear partial differential equations (PDEs) under the most general conditions. The method has improved from Chebyshev ... -
A collocation approach for solving linear complex differential equations in rectangular domains
Yuzbasi, Suayip; Sahin, Niyazi; Sezer, Mehmet (Wiley-Blackwell, 2012)In this paper, a collocation method is presented to find the approximate solution of high-order linear complex differential equations in rectangular domain. By using collocation points defined in a rectangular domain and ... -
A Collocation Approach for the Numerical Solution of Certain Linear Retarded and Advanced Integrodifferential Equations with Linear Functional Arguments
Gulsu, Mustafa; Sezer, Mehmet (John Wiley & Sons Inc, 2011)This article presents a Taylor collocation method for the approximate solution of high-order linear Volterra-Fredholm integrodifferential equations with linear functional arguments. This method is essentially based on the ... -
A collocation approach to solving the model of pollution for a system of lakes
Yuzbasi, Suayip; Sahin, Niyazi; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2012)Pollution has become a very serious threat to our environment. Monitoring pollution is the first step toward planning to save the environment. In this paper, the pollution problem of three lakes with interconnecting channels ... -
A Collocation Method for Solving Fractional Riccati Differential Equation
Öztürk, Yalçın; Anapalı, Ayşe; Gülsu, Mustafa; Sezer, Mehmet (Hindawi Ltd, 2013)We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions ... -
A Collocation Method to Solve Higher Order Linear Complex Differential Equations in Rectangular Domains
Sezer, Mehmet; Yalcinbas, Salih (Wiley, 2010)In this article, a collocation method is developed to find an approximate solution of higher order linear complex differential equations with variable coefficients in rectangular domains. This method is essentially based ... -
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 ...
