Yazar "Yuzbasi, Suayip" için listeleme
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Bessel collocation approach for solving continuous population models for single and interacting species
Yuzbasi, Suayip (Elsevier Science Inc, 2012)In this paper, we present a collocation method to obtain the approximate solutions of continuous population models for single and interacting species. By using the Bessel polynomials and collocation points, this method ... -
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 collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations
Yuzbasi, Suayip; Sahin, Niyazi; Yildirim, Ahmet (Pergamon-Elsevier Science Ltd, 2012)In this study, a collocation method based on the Bessel polynomials is introduced for the approximate solutions of high-order linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions. In ... -
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 solving systems of linear Volterra integral equations with variable coefficients
Sahin, Niyazi; Yuzbasi, Suayip; Gulsu, Mustafa (Pergamon-Elsevier Science Ltd, 2011)In this paper, a numerical method is introduced to solve a system of linear Volterra integral equations (VIEs). By using the Bessel polynomials and the collocation points, this method transforms the system of linear Volterra ... -
A collocation approach to solve the Riccati-type differential equation systems
Yuzbasi, Suayip (Taylor & Francis Ltd, 2012)In this paper, a collocation method is presented for the solutions of the system of the Riccati-type differential equations with variable coefficients. The proposed approach consists of reducing the problem to a nonlinear ... -
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 ... -
An efficient algorithm for solving multi-pantograph equation systems
Yuzbasi, Suayip (Pergamon-Elsevier Science Ltd, 2012)In this paper, we present a numerical approach for solving the system of multi-pantograph equations with mixed conditions. This system is usually difficult to solve analytically. By expanding the approximate solutions by ... -
An exponential matrix method for solving systems of linear differential equations
Yuzbasi, Suayip; Sezer, Andmehmet (Wiley, 2013)This paper presents an exponential matrix method for the solutions of systems of high-order linear differential equations with variable coefficients. The problem is considered with the mixed conditions. On the basis of the ... -
An improved Bessel collocation method with a residual error function to solve a class of Lane-Emden differential equations
Yuzbasi, Suayip; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2013)In this study, the modified Bessel collocation method is presented to obtain the approximate solutions of the linear Lane-Emden differential equations. The method is based on the improvement of the Bessel polynomial solutions ... -
Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations
Yuzbasi, Suayip; Gok, Emrah; Sezer, Mehmet (Wiley, 2014)In this study, a practical matrix method based on Laguerre polynomials is presented to solve the higher-order linear delay differential equations with constant coefficients and functional delays under the mixed conditions. ... -
A numerical approach for solving a class of the nonlinear Lane-Emden type equations arising in astrophysics
Yuzbasi, Suayip (Wiley, 2011)In this paper, a collocation method based on the Bessel polynomials is presented for the approximate solution of a class of the nonlinear Lane-Emden type equations, which have many applications in mathematical physics. The ... -
A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations
Yuzbasi, Suayip (Pergamon-Elsevier Science Ltd, 2012)In this study, a collocation method based on the Bessel functions of first kind is given for the approximate solutions of the Riccati differential-difference equations under the mixed condition. The method is presented ... -
A numerical approximation for Volterra's population growth model with fractional order
Yuzbasi, Suayip (Elsevier Science Inc, 2013)This paper presents a numerical scheme for approximate solutions of the fractional Volterra's model for population growth of a species in a closed system. In fact, the Bessel collocation method is extended by using the ... -
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 numerical scheme for solutions of the Chen system
Yuzbasi, Suayip (Wiley-Blackwell, 2012)In this paper, we will develop the Bessel collocation method to find approximate solutions of the Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This scheme consists of reducing 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 ... -
Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method
Yuzbasi, Suayip; Sahin, Niyazi (Elsevier Science Inc, 2013)In this paper, we present a numerical scheme for the approximate solutions of the one-dimensional parabolic convection-diffusion model problems. This method is based on the Bessel collocation method used for some problems ... -
Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases
Yuzbasi, Suayip; Sahin, Niyazi; Yildirim, Ahmet (Verlag Z Naturforsch, 2011)In this paper, a numerical matrix method, which is based on collocation points, is presented for the approximate solution of a system of high-order linear differential-difference equations with variable coefficients under ...
