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Approximate solution of general high-order linear nonhomogeneous difference equations by means of Taylor collocation method 

Gulsu, M; Sezer, M; Guney, Z (Elsevier Science Inc, 2006)
In this paper, a Taylor collocation method is developed to find an approximate solution of general high-order linear nonhomogenous difference equations with variable coefficients under the mixed conditions. The solution ...

On the solution of the Riccati equation by the Taylor matrix method 

Gulsu, M; Sezer, M (Elsevier Science Inc, 2006)
In this paper, we suggest a matrix method to solve the Riccati differential equation in terms of Taylor polynomials. This method is based on first taking the truncated Taylor series of the function in equations and then ...

A finite difference approach for solution of Burgers' equation 

Gulsu, M (Elsevier Science Inc, 2006)
In this paper, we have applied restrictive Pade approximation classical implicit finite difference method to the Burgers' equation with a set of initial and boundary conditions to obtain its numerical solution. The stability ...

A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument 

Sezer, M; Gulsu, M (Elsevier Science Inc, 2005)
The purpose of this study is to give a Taylor polynomial approximation for the solution of high-order linear Fredholm difference equations with variable coefficients and mixed argument under the mixed conditions about any ...

Numerical solution of Burgers' equation with restrictive Taylor approximation 

Gulsu, M; Ozis, T (Elsevier Science Inc, 2005)
In this paper, we have applied restrictive Taylor approximation classical explicit finite difference method to the Burgers' equation with a set of initial and boundary conditions to obtain its numerical solution. The ...

The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials 

Gulsu, M; Sezer, M (Elsevier Science Inc, 2005)
This paper presents a numerical method for the approximate solution of mth-order linear difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials about any point. In addition, ...

Taylor polynomial solutions of systems of linear differential equations with variable coefficients 

Sezer, M; Karamete, A; Gulsu, M (Taylor & Francis Ltd, 2005)
A Taylor collocation method has been presented for numerically solving systems of high-order linear ordinary, differential equations with variable coefficients. Using the Taylor collocation points, this method transforms ...

A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials 

Gulsu, M; Sezer, M (Taylor & Francis Ltd, 2005)
The purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear difference equations with variable coefficients under the mixed conditions about any point. For this purpose, the ...



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Gulsu, M (8)
Sezer, M (6)Guney, Z (1)Karamete, A (1)Ozis, T (1)Subjectdifference equations (4)Taylor polynomials and series (4)Burgers' equation (2)finite difference (2)Taylor polynomial solutions (2)Taylor polynomials (2)approximations of the functions (1)collocation methods (1)collocation points (1)Fredholm equations (1)... View MoreDate Issued2005 (5)2006 (3)Full Text Status
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