Yazar "Öztürk, Yalçın" için listeleme
-
Approximate solution of generalized pantograph equations withvariable coefficients by operational method
Öztürk, Yalçın; Gülsu, Mustafa (2017)In this paper, we present an efficient direct solver for solvingthe generalizedpantograph equations with variable coefficients. An approachis based on thesecond kind Chebyshev polynomials together with operational method. ... -
A Collocation Method for Solving Fractional Riccati Differential Equation
Öztürk, Yalçın; Anapalı, Ayşe; Gülsu, Mustafa; Sezer, Mehmet (Hindawi Ltd, 2013)We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions ... -
Maximal, irreducible and prime soft ideals of BCK/BCI-algebra
Acar, Ummahan; Öztürk, Yalçın (Hacettepe Univ, Fac Sci, 2015)In this paper, the notions of soft irreducible, prime and maximal soft ideals, irreducible, prime and maximal soft idealistic over on BCK/BCI-algebras are introduced, and several examples are given to illustrate. Relations ... -
New Numerical Approach for Solving Abel's Integral Equations
Şenel Anapalı, Ayşe; Öztürk, Yalçın; Gülsu, Mustafa (WALTER DE GRUYTER GMBH, 2021)In this article, we present an efficient method for solving Abel's integral equations. This important equation is consisting of an integral equation that is modeling many problems in literature. Our proposed method is based ... -
A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation
Koç, Dilara Altan; Öztürk, Yalçın; Gülsu, Mustafa (Taylor and Francis Ltd., 2023)A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts ... -
Numerical approach for solving linear Fredholm integro-differential equation with piecewise intervals by Bernoulli polynomials
Biçer, Gül Gözde; Öztürk, Yalçın; Gülsu, Mustafa (Taylor & Francis Ltd, 2018)In this paper a numerical method is given for the solution of linear Fredholm integro-differential equation (FIDE) with piecewise intervals under the mixed conditions using the Bernoulli polynomials. The aim of this article ... -
A numerical scheme for continuous population models for single and interacting species
Öztürk, Yalçın; Anapalı, Ayşe; Gülsu, Mustafa (2017)Bu makalede, lojistik büyüme modeli, av avcı modeli ve 2-tür Lotka-Volterra yaşama mücadelesi modeli gibi modeller Chebyshev sıralama metodu ile çözülmüştür. Bu lineer olmayan matematiksel modeller Chebyshev açılımı metodu ... -
Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials
Öztürk, Yalçın; Gülsu, Mustafa (World Scientific Publ Co Pte Ltd, 2017)In this paper, we present a numerical scheme for solving the Abel equation. The approach is based on the shifted Chebyshev polynomials together with operational method. We reduce the problem to a set of nonlinear algebraic ... -
Numerical solution of fractional differential equations using fractional Chebyshev polynomials
Öztürk, Yalçın; Ünal, Mutlu (World Scientific, 2021)In this paper, fractional order Chebyshev polynomials are presented and some properties are given. Using definition of fractional order Chebyshev polynomials, we give a numerical scheme for solving fractional differential ... -
Numerical solution the fractional Bagley-Torvik equation arising in fluid mechanics
Gülsü, Mustafa; Öztürk, Yalçın; Anapalı, Ayşe (Taylor & Francis Ltd, 2017)In this paper, we present a numerical solution method which is based on Taylor Matrix Method to give approximate solution of the Bagley-Torvik equation. Given method is transformed the Bagley-Torvik equation into a system ... -
Numerical Solutions of Duffing Equations Involving Linear Integral with Shifted Chebyshev Polynomials
Anapalı, Ayşe; Öztürk, Yalçın; Gülsu, Mustafa (2015)Bu çalışmanın amacı linear terim içeren Duffing?van der Pol denkleminin shifted Chebyshev polinomları yardımı ile yaklaşık çözümlerini sunmaktır. Bu amaçla Chebyshev sıralama metodu verilmiştir. Metodun ana karekteristiği ... -
An operational matrix method for solving Lane-Emden equations arising in astrophysics
Öztürk, Yalçın; Gülsu, Mustafa (Wiley, 2014)This paper deals with the numerical solution of Lane-Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach ... -
AN OPERATIONAL MATRIX METHOD TO SOLVE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Öztürk, Yalçın (Editura Bibliotheca-Bibliotheca Publ House, 2020)In this paper, it is an operational matrix method associating Chebyshev polynomials to solve linear Fredholm-Volterra integro-differential (FVDE) equations. Using Chebyshev finite series, the method reduces any problem to ... -
An operational matrix method to solve linear Fredholm–Volterra integro‑differential equations with piecewise intervals
Öztürk, Yalçın; Gülsu, Mustafa (Springer Link, 2021)In recent times, operational matrix methods become overmuch popular. Actually, we have many more operational matrix methods. In this study, a new remodeled method is offered to solve linear Fredholm-Volterra integro-differential ... -
A spectral collocation matrix method for solving linear Fredholm integro-differential–difference equations
Öztürk, Yalçın; Demir, Atılım İlker (Springer Science and Business Media Deutschland GmbH, 2021)In this study, a spectral collocation matrix method has been introduced to solve the linear Fredholm integro differential–difference equation (LFIDDE) numerically. The method is combined Chebyshev series and matrix algebras. ...
