Yazar "Zeybek, Halil" için listeleme
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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 ... -
An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method
Karakoc, Seydi Battal Gazi; Ak, Turgut; Zeybek, Halil (HINDAWI PUBLISHING CORPORATION, 2014)A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three ... -
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 ...
