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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 ...
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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 ...

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, ...
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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 ...

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 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 ...

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 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 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 rational approximation based on Bernstein polynomials for high order initial and boundary values problems 

Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Elsevier Science Inc, 2011)
We introduce a new method to solve high order linear differential equations with initial and boundary conditions numerically. In this method, the approximate solution is based on rational interpolation and collocation ...
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