Yazar "Sezer, Mehmet" için listeleme
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Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains
Sezer, Mehmet; Tanay, Bekir; Gulsu, Mustafa (Wiley, 2010)An approximate method for solving higher-order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of ... -
Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method
Bülbül Aslan, Berna; Sezer, Mehmet (Hindawi Ltd, 2013)We have suggested a numerical approach, which is based on an improved Taylor matrix method, for solving Duffing differential equations. The method is based on the approximation by the truncated Taylor series about center ... -
Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method
Yuzbasi, Suayip; Sezer, Mehmet; Kemanci, Bayram (Elsevier Science Inc, 2013)In this paper, an improved Legendre collocation method is presented for a class of integro-differential equations which involves a population model. This improvement is made by using the residual function of the operator ... -
Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases
Yüzbaşı, Şuayip; Şahin, Niyazi; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2011)In this paper, a numerical matrix method based on collocation points is presented for the approximate solution of the systems of high-order linear Fredholm integro-differential equations with variable coefficients under ... -
A numerical technique for solving functional integro-differential equations having variable bounds
Gökmen, Elçin; Gürbüz, Burcu; Sezer, Mehmet (Springer Heidelberg, 2018)In this paper, a collocation method based on Taylor polynomials is presented to solve the functional delay integro-differential equations with variable bounds. Using this method, we transform the functional equations to a ... -
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 ... -
Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
Kurt, Nurcan; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2008)In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms ... -
Polynomial solution of the most general linear Fredholm-Volterra integrodifferential-difference equations by means of Taylor collocation method
Sezer, Mehmet; Gulsu, Mustafa (Elsevier Science Inc, 2007)In this paper, a Taylor collocation method has been presented for numerically solving the high-order general linear Fredholm-Volterra integrodifferential-difference equations with variable coefficients under the mixed ... -
A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Elsevier Science Inc, 2011)We introduce a new method to solve high order linear differential equations with initial and boundary conditions numerically. In this method, the approximate solution is based on rational interpolation and collocation ... -
Rational Chebyshev Collocation Method for Solving Higher-Order Linear Ordinary Differential Equations
Sezer, Mehmet; Gulsu, Mustafa; Tanay, Bekir (Wiley-Blackwell, 2011)A collocation method to find an approximate solution of higher-order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev ... -
Solution of Dirichlet problem for a triangle region in terms of elliptic functions
Kurt, Nurcan; Sezer, Mehmet (Elsevier Science Inc, 2006)In this paper.. the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson) differential equation in a triangle region is expressed in terms of elliptic functions and the solution of problem is ... -
Solution of High-Order Linear Fredholm Integro-Differential Equations with Piecewise Intervals
Baykus, Nurcan; Sezer, Mehmet (Wiley, 2011)In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals under the initial boundary conditions in terms ... -
Solving High-Order Linear Differential Equations by a Legendre Matrix Method Based on Hybrid Legendre and Taylor Polynomials
Sezer, Mehmet; Gulsu, Mustafa (Wiley, 2010)A numerical method for solving the high-order linear differential equations with variable coefficients under the mixed conditions is presented. The method is based on the hybrid Legendre and Taylor polynomials. The solution ... -
Taylor collocation approach for delayed Lotka-Volterra predator-prey system
Gökmen, Elçin; Işık, Osman Raşit; Sezer, Mehmet (Elsevier Science Inc, 2015)In this study, a numerical approach is proposed to obtain approximate solutions of the system of nonlinear delay differential equations defining Lotka-Volterra prey predator model. By using the Taylor polynomials and ... -
Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations
Guelsu, Mustafa; Sezer, Mehmet (Taylor & Francis Ltd, 2006)A Taylor collocation method is presented for numerically solving the system of high-order linear Fredholm-Volterra integro-differential equations in terms of Taylor polynomials. Using the Taylor collocations points, the ... -
A Taylor Collocation Method for Solving High-Order Linear Pantograph Equations with Linear Functional Argument
Gulsu, Mustafa; Sezer, Mehmet (Wiley-Blackwell, 2011)A numerical method based on the Taylor polynomials is introduced in this article for the approximate solution of the pantograph equations with constant and variable coefficients. Some numerical examples, which consist of ... -
A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
Yalcinbas, Salih; Sezer, Mehmet (Elsevier Science Inc, 2006)In this paper, a Taylor collocation method is developed to find an approximate solution of high-order linear Fredholm-Volterra integro-difference equations with variable coefficients under the mixed conditions. The solution ... -
A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains
Sezer, Mehmet; Gulsu, Mustafa; Tanay, Bekir (Elsevier Science Inc, 2006)An approximate method for solving higher-order linear complex differential equations in the elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix representation ... -
A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation
Bulbul, Berna; Sezer, Mehmet (Pergamon-Elsevier Science Ltd, 2011)A Taylor matrix method is proposed for the numerical solution of the two-space-dimensional linear hyperbolic equation. This method transforms the equation into a matrix equation and the unknown of this equation is a Taylor ...