Yazar "Ozturk, Yalcin" için listeleme
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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 ... -
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 ... -
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 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 ... -
Numerical solution of systems of differential equations using operational matrix method with Chebyshev polynomials
Ozturk, Yalcin (Taylor & Francis Ltd, 2018)In this study, we introduce an effective and successful numerical algorithm to get numerical solutions of the system of differential equations. The method includes operational matrix method and truncated Chebyshev series ... -
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 ... -
On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials
Gulsu, Mustafa; Ozturk, Yalcin; Sezer, Mehmet (Elsevier Science Inc, 2011)This paper presents a new approximate method of Abel differential equation. By using the shifted Chebyshev expansion of the unknown function, Abel differential equation is approximately transformed to a system of nonlinear ... -
Solution for the System of Lane-Emden Type Equations Using Chebyshev Polynomials
Ozturk, Yalcin (Mdpi, 2018)In this paper, we use the collocation method together with Chebyshev polynomials to solve system of Lane-Emden type (SLE) equations. We first transform the given SLE equation to a matrix equation by means of a truncated ...
