Yazar "Gökmen, Elçin" için listeleme
-
A computational approach with residual error analysis for the fractional-order biological population model
Gökmen, Elçin (Taylor and Francis Ltd., 2021)In this study, a fractional Bernstein series solution method has been submitted to solve the fractional-order biological population model with one carrying capacity. The numerical method has been implemented by an effective ... -
A MODIFIED TAYLOR COLLOCATION METHOD FOR PANTOGRAPH TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HYBRID PROPORTIONAL AND VARIABLE DELAYS
Gökmen, Elçin; Sezer, Mehmet (Muğla Sıtkı Koçman Üniversitesi Fen Bilimleri Enstitüsü, 2020)In this work, high order pantograph type linear functional differential equations with hybrid proportional and variable delays is approximately solved by the modified Taylor matrix method. With this method these functional ... -
A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays
Gökmen, Elçin; Yüksel, Gamze; Sezer, Mehmet (Elsevier Science Bv, 2017)In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation ... -
A numerical method to solve fractional pantograph differential equations with residual error analysis
Gökmen, Elçin; Işık, Osman Raşit (SPRINGER HEIDELBERG, 2021)In this study, we have introduced a fractional series solution method to solve fractional pantograph differential equations numerically. The method is constructed by collocation approach and Bernstein polynomials. Each ... -
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 ... -
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 ...
