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Polynomial solution of the most general linear Fredholm-Volterra integrodifferential-difference equations by means of Taylor collocation method 

Sezer, Mehmet; Gulsu, Mustafa (Elsevier Science Inc, 2007)
In this paper, a Taylor collocation method has been presented for numerically solving the high-order general linear Fredholm-Volterra integrodifferential-difference equations with variable coefficients under the mixed ...

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 ...

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 ...

A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains 

Sezer, Mehmet; Gulsu, Mustafa; Tanay, Bekir (Elsevier Science Inc, 2006)
An approximate method for solving higher-order linear complex differential equations in the elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix representation ...

A Taylor Collocation Method for Solving High-Order Linear Pantograph Equations with Linear Functional Argument 

Gulsu, Mustafa; Sezer, Mehmet (Wiley-Blackwell, 2011)
A numerical method based on the Taylor polynomials is introduced in this article for the approximate solution of the pantograph equations with constant and variable coefficients. Some numerical examples, which consist of ...

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 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 ...

Solving High-Order Linear Differential Equations by a Legendre Matrix Method Based on Hybrid Legendre and Taylor Polynomials 

Sezer, Mehmet; Gulsu, Mustafa (Wiley, 2010)
A numerical method for solving the high-order linear differential equations with variable coefficients under the mixed conditions is presented. The method is based on the hybrid Legendre and Taylor polynomials. The solution ...

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 ...
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Gulsu, Mustafa (16)
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Ozturk, Yalcin (5)Tanay, Bekir (3)Bulbul, Berna (1)Gurbuz, Burcu (1)Yalman, Hatice (1)SubjectTaylor polynomials and series (4)Approximation Method (3)complex differential equations (3)Chebyshev Polynomial Solutions (2)Collocation Method (2)Collocation Methods (2)Collocation Points (2)Taylor Polynomials and Series (2)Abel Equation (1)Approximation Methods (1)... View MoreDate Issued2011 (6)2010 (4)2006 (3)2007 (2)2012 (1)Full Text StatusWithout Full Text (16)

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