Yazar "Gülsu, Mustafa" için listeleme
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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 Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations
Yüksel, Gamze; Gülsu, Mustafa; Sezer, Mehmet (Gazi Univ, 2012)The purpose of this study is to present a method for solving high order linear Fredholm-Volterra integrodifferential equations in terms of Chebyshev polynomials under the mixed conditions. The method is based on the ... -
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 ... -
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 NEW NUMERICAL SCHEME FOR SOLVING THE TWO DIMENSIONAL FRACTIONAL DIFFUSION EQUATION
Altan Koç, Dilara; Gülsu, Mustafa (CZESTOCHOWA UNIV TECHNOLOGY, 2021)In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order a. The rate of convergence ... -
New Wave Simulations to the (3+1)-Dimensional Modified Kdv-Zakharov-Kuznetsov Equation
Başkonuş, Hacı Mehmet; Koç, Dilara Altan; Gülsu, Mustafa; Bulut, Hasan (Amer Inst Physics, 2017)In this study, we apply an effective method which is improved Bernoulli sub-equation function method (IBSEFM) to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. It gives some new wave simulations such as ... -
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 ... -
Numerical approach for solving time fractional diffusion equation
Koç, Dilara Altan; Gülsu, Mustafa (2017)In this article one of the fractional partial differential equations was solved by finite difference scheme based on five point and three point central space method with discretization in time. We use between the Caputo ... -
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 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 ... -
On a LOD and Crank-Nicolson methods for the two dimensional diffusion equation
Gülsu, Mustafa (2002)Bu çalışmada bir boyutlu diffuzyon denklemi için Açık yöntem ve Crank Nicolson yöntemini temel alan sonlu fark teknikleri, iki boyutlu zamana bağımlı diffuzyon denklemini çözmek için kullanıldı, yerel bir boyut(LOD) yöntemi ... -
Operational Matrix by Hermite Polynomials for Solving Nonlinear Riccati Differential Equations
Yalman Kosunalp, Hatice; Gülsu, Mustafa (LEBANESE UNIV, 2021)This paper studies the potential to ensure a numerical solution of nonlinear Riccati differential equations with an effective method, namely operational matrix which is derived by Hermite polynomials with the sense of ... -
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 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 ... -
Study on 9 point FTCS two-level finite-difference methods with LOD procedure for two-dimensional diffusion equation
Gülsu, Mustafa (2004)Bu çalışmada bir boyutlu diffüzyon denklemi için Açık yöntem ve 9-Nokta ileri fark yöntemini temel alan sonlu fark teknikleri, iki boyutlu zaman bağımlı diffüzyon denklemini çözmek için kullanıldı. Yerel bir boyut (LOD) ... -
A Taylor polynomial approach for solving differential-difference equations
Gülsu, Mustafa; Sezer, Mehmet (Elsevier Science Bv, 2006)The purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear differential-difference equations with variable coefficients under the mixed conditions about any point. For this ... -
A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
Sezer, Mehmet; Yalçınbaş, Salih; Gülsu, Mustafa (Taylor & Francis Ltd, 2008)A numerical method for solving the generalized ( retarded or advanced) pantograph equation with constant and variable coefficients under mixed conditions is presented. The method is based on the truncated Taylor polynomials. ... -
Towards solving linear fractional differential equations with Hermite operational matrix
Koşunalp, Hatice Yalman; Gülsu, Mustafa (TBILISI CENTRE MATH SCI, 2023)This paper presents the derivation of a new operational matrix of Caputo fractional derivatives through Hermite polynomials with Tau method to solve a set of fractional differential equations (FDEs). The proposed algorithm ...
