WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/394
Browse
3 results
Search Results
Article Citation - WoS: 26Citation - Scopus: 33Solitary-Wave Solutions of the GRLW Equation Using Septic B-Spline Collocation Method(Elsevier Science inc, 2016-10) Karakoc, S. Battal Gazi; Zeybek, HalilIn 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 accuracy and efficiency of the numerical scheme, three test problems are studied by calculating the error norms L-2 and L-infinity and the invariants I-1, I-2 and I-3. A linear stability analysis based on the von Neumann method of the numerical scheme is also investigated. Consequently, our findings indicate that our numerical scheme is preferable to some recent numerical schemes. (C) 2016 Elsevier Inc. All rights reserved.Article Citation - WoS: 8Citation - Scopus: 10A Septic B-Spline Collocation Method for Solving the Generalized Equal Width Wave Equation(Elsevier, 2016) Karakoc, Seydi B. G.; Zeybek, HalilIn 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 single soliton, interaction of solitons and Maxwellian initial condition are solved to verify the proposed method by calculating the error norms L-2 and L-8 and the invariants I-1, I-2 and I-3. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable. As a result, the obtained results are found in good agreement with the some recent results.Article Citation - WoS: 2Citation - Scopus: 1A New Approaching Method for Linear Neutral Delay Differential Equations by Using Clique Polynomials(Tubitak Scientific & Technological Research Council Turkey, 2023-11-09) Yuzbasi, Suayip; Tamar, Mehmet EminThis article presents an efficient method for obtaining approximations for the solutions of linear neutral delay differential equations. This numerical matrix method, based on collocation points, begins by approximating y ' (u) using a truncated series expansion of Clique polynomials. This method is constructed using some basic matrix relations, integral operations, and collocation points. Through this method, the neutral delay problem is transformed into a system of linear algebraic equations. The solution of this algebraic system determines the coefficients of the approximate solution obtained by this method. The efficiency, accuracy, and error analysis of this method are demonstrated by applying it to several numerical problems. All calculations in this method have been performed using the computer program MATLAB R2021a.