Browsing Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences by Author "Zeybek, Halil"
Now showing items 1-7 of 7
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APPLICATION OF THE COLLOCATION METHOD WITH B-SPLINES TO THE GEW EQUATION
Zeybek, Halil; Karakoc, S. Battal Gazi (KENT STATE UNIVERSITYETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001, 2017)In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic B-spline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ... -
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 ... -
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 ... -
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 ... -
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 ...