Yazar "Guney, Zekeriya" 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 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 ...
