Yazar "Sahin, Niyazi" için listeleme
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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 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 ... -
A Hermite Collocation Method for the Approximate Solutions of High-Order Linear Fredholm Integro-Differential Equations
Akgonullu, Nilay; Sahin, Niyazi; Sezer, Mehmet (Wiley, 2011)In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed ... -
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 ...
