Kurum Yazarı "Gülsu, Mustafa" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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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 ... -
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 ... -
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 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 ... -
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 ... -
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 ...