Yazar "Gulsu, Mustafa" için listeleme
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Approximate solution of complex differential equations for a rectangular domain with Taylor collocation method
Sezer, Mehmet; Gulsu, Mustafa (Elsevier Science Inc, 2006)In this study, Taylor collocation method is investigated for the approximate computation of high-order linear complex differential equations. Using the collocation points on any rectangular domain in the complex plane, the ... -
Approximate solution to linear complex differential equation by a new approximate approach
Gulsu, Mustafa; Sezer, Mehmet (Elsevier Science Inc, 2007)The purpose of this study is to give a Taylor polynomial approximation for the solution of high-order linear complex differential equations with variable coefficients and mixed conditions about any point. For this purpose, ... -
An approximation algorithm for the solution of the Lane-Emden type equations arising in astrophysics and engineering using Hermite polynomials
Ozturk, Yalcin; Gulsu, Mustafa (Springer Heidelberg, 2014)The purpose of this paper is to propose an efficient numerical method for solving Lane-Emden type equations arising in astrophysics using Hermit polynomials. Our method depends on collocation method. This method based on ... -
Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order
Gulsu, Mustafa; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2006)There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically ... -
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 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 ... -
A Collocation Method for Solving Fractional Riccati Differential Equation
Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse (Global Science Press, 2013)In this article, we have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation. The fractional derivatives are described in the Caputo sense. This ... -
Laguerre polynomial approach for solving linear delay difference equations
Gulsu, Mustafa; Gurbuz, Burcu; Ozturk, Yalcin; Sezer, Mehmet (Elsevier Science Inc, 2011)This paper presents a numerical method for the approximate solution of mth-order linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this ... -
A new Chebyshev polynomial approximation for solving delay differential equations
Gulsu, Mustafa; Ozturk, Yalcin; Sezer, Mehmet (Taylor & Francis Ltd, 2012)The purpose of this study is to give a Chebyshev polynomial approximation for the solution of mth-order linear delay differential equations with variable coefficients under the mixed conditions. For this purpose, a new ... -
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 New Hermite Collocation Method for Solving Differential Difference Equations
Gulsu, Mustafa; Yalman, Hatice; Ozturk, Yalcin; Sezer, Mehmet (Prairie View A & M Univ, Dept Mathematics, 2011)The purpose of this study is to give a Hermite polynomial approximation for the solution of m(th) order linear differential-difference equations with variable coefficients under mixed conditions. For this purpose, a new ... -
A New Taylor Collocation Method for Nonlinear Fredholm-Volterra Integro-Differential Equations
Bulbul, Berna; Gulsu, Mustafa; Sezer, Mehmet (Wiley, 2010)The aim of this article is to present an efficient numerical procedure for solving nonlinear integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential ... -
Numerical approach for solving fractional Fredholm integro-differential equation
Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse (Taylor & Francis Ltd, 2013)In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the ... -
Numerical approach for solving fractional relaxation-oscillation equation
Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse (Elsevier Science Inc, 2013)In this study, we will obtain the approximate solutions of relaxation-oscillation equation by developing the Taylor matrix method. A relaxation oscillator is a kind of oscillator based on a behavior of physical system's ... -
A numerical approach for solving initial-boundary value problem describing the process of cooling of a semi-infinite body by radiation
Ozturk, Yalcin; Gulsu, Mustafa (Elsevier Science Inc, 2013)In this article, we have introduced a Taylor collocation method, which is based on collocation method for solving initial-boundary value problem describing the process of cooling of a semi-infinite body by radiation. This ... -
Numerical approach for the solution of hypersingular integro-differential equations
Gulsu, Mustafa; Ozturk, Yalcin (Elsevier Science Inc, 2014)The main purpose of this article is to present an approximation method of hypersingular integro-differential equations in the most general form under the mixed conditions in terms of the second kind Chebyshev polynomials. ... -
Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains
Sezer, Mehmet; Tanay, Bekir; Gulsu, Mustafa (Wiley, 2010)An approximate method for solving higher-order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of ... -
Numerical solution of a modified epidemiological model for computer viruses
Ozturk, Yalcin; Gulsu, Mustafa (Elsevier Science Inc, 2015)Computer viruses are serious problems for individual and corporate computer systems, and thus many studies have investigated how to avoid their deleterious effects by creating anti-virus programs that act as vaccines in ... -
Numerical solution of Riccati equation using operational matrix method with Chebyshev polynomials
Ozturk, Yalcin; Gulsu, Mustafa (World Scientific Publ Co Pte Ltd, 2015)In this paper, we present numerical technique for solving the Riccati equation by using operational matrix method with Chebyshev polynomials. The method consists of expanding the required approximate solution as truncated ... -
On The Numerical Solution of Linear Fredholm-Volterra Integro Differential Difference Equations With Piecewise Intervals
Gulsu, Mustafa; Ozturk, Yalcin (Prairie View A & M Univ, Dept Mathematics, 2012)The numerical solution of a mixed linear integro delay differential-difference equation with piecewise interval is presented using the Chebyshev collocation method. The aim of this article is to present an efficient numerical ...
