Yazar "Öztürk, Yalçın" için Finans-Bankacılık ve Sigortacılık Bölümü Koleksiyonu listeleme
-
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 ... -
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 ... -
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. ...