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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, ...

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 ...

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 ...

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 ...

Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method 

Yuzbasi, Suayip; Sezer, Mehmet; Kemanci, Bayram (Elsevier Science Inc, 2013)
In this paper, an improved Legendre collocation method is presented for a class of integro-differential equations which involves a population model. This improvement is made by using the residual function of the operator ...
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Gulsu, Mustafa (11)Yuzbasi, Suayip (8)Ozturk, Yalcin (5)Sahin, Niyazi (5)Guney, Zekeriya (4)Isik, Osman Rasit (4)Bulbul, Berna (3)Yalcinbas, Salih (3)Tanay, Bekir (2)... View MoreSubjectCollocation Method (9)Collocation Points (9)Bessel Polynomials and Series (4)Taylor Matrix Method (4)Taylor Polynomials and Series (4)Approximate Solution (3)Approximation Method (3)Bernstein Polynomials (3)Chebyshev Polynomial Solutions (3)Complex Differential Equations (3)... View MoreDate Issued2011 (14)2010 (6)2012 (6)2013 (5)2014 (2)2018 (1)Full Text Status
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