Browsing Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences by Author "AGÜ"
Now showing items 1-10 of 10
-
A cubic B-spline Galerkin approach for the numerical simulation of the GEW equation
Battal Gazi Karakoç S.; Zeybek, Halil (International Academic Press, 2016)The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested by applying two test problems including single ... -
THE EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMIPOSITONE SECOND-ORDER m-POINT BOUNDARY VALUE PROBLEM
Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)In this paper, we study the existence of positive solutions to boundary value problem {u '' + lambda f(t,u)=0, t is an element of(0,1); u(0)=Sigma(m-2)(i-1) alpha (i)u(xi(i)), u'(1) = Sigma (m-2)(i=1) beta(i) ... -
A NEW APPROACH FOR NUMERICAL SOLUTION OF LINEAR AND NON-LINEAR SYSTEMS
Zeybek, Halil; Dolapci, Ihsan Timucin (KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM, 2017)In this study, Taylor matrix algorithm is designed for the approximate solution of linear and non-linear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential ... -
Normal Mixture Model-Based Clustering of Data Using Genetic Algorithm
Gogebakan, Maruf; Erol, Hamza (SPRINGER INTERNATIONAL PUBLISHING AG, 2020)In this study, a new algorithm was developed for clustering multivariate big data. Normal mixture distributions are used to determine the partitions of variables. Normal mixture models obtained from the partitions of variables ... -
A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Zeybek, Halil; Karakoç, Battal Gazi (Springer, 2016)In this work, we construct the lumped Galerkin approach based on cubic B-splines to obtain the numerical solution of the generalized regularized long wave equation. Applying the von Neumann approximation, it is shown that ... -
Numerical solutions of the kawahara equation by the septic B-spline collocation method
Karakoç, Battal Gazi; Zeybek, Halil; Ak, Turgut (International Academic Press, 2014)In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. The ... -
ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL p-LAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES
Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)In this paper, we study the following p-Laplacian boundary value problems on time scales {(phi(p)(u(Delta)(t)))(del) + a(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of [0,T](T), u(0) - B-0(u(Delta)(0)) = 0, ... -
On the existence of positive solutions of the p-Laplacian dynamic equations on time scales
DOĞAN, Abdülkadir (WILEY, 2017)In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ... -
A septic B-spline collocation method for solving the generalized equal width wave equation
Karakoc, Seydi B. G.; Zeybek, Halil (ACADEMIC PUBLICATION COUNCIL, 2016)In this work, a septic B-spline collocation method is implemented to find the numerical solution of the generalized equal width (GEW) wave equation by using two different linearization techniques. Test problems including ... -
Solitary-wave solutions of the GRLW equation using septic B-spline collocation method
Karakoc, Seydi; Zeybek, Halil (ELSEVIER SCIENCE INC, 2016)In this work, solitary-wave solutions of the generalized regularized long wave (GRLW) equation are obtained by using septic B-spline collocation method with two different linearization techniques. To demonstrate the ...
