Yazar "Isik, Osman Rasit" için listeleme
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Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Elsevier Science Inc, 2011)In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact ... -
Bernstein series solution of linear second-order partial differential equations with mixed conditions
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya (Wiley, 2014)The purpose of this study is to present a new collocation method for numerical solution of linear PDEs under the most general conditions. The method is given with a priori error estimate. By using the residual correction ... -
Bernstein series solutions of pantograph equations using polynomial interpolation
Isik, Osman Rasit; Guney, Zekeriya; Sezer, Mehmet (Taylor & Francis Ltd, 2012)In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of the pantograph-type differential equations with retarded case or advanced case. In addition, the ... -
A rational approximate solution for generalized pantograph-delay differential equations
Isik, Osman Rasit; Turkoglu, Turgay (Wiley, 2016)In this paper, a new rational approximation based on a rational interpolation and collocation method is proposed for the solutions of generalized pantograph equations. A comprehensive error analysis is provided. The first ... -
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 ... -
Spin up problem and accelerating convergence to steady state
Isik, Osman Rasit (Elsevier Science Inc, 2013)In this study, we investigate the problem of accelerating convergence to equilibrium for the Navier Stokes equation (NSE) models. The first model is obtained adding the time relaxation term "+kappa(u-(u) over bar)", where ...
