NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS
Yusuf Ucar, N. Murat Yagmurlu, Ali Bashan
article (Uluslararası, Hakemli) | Yazar(lar): Yusuf Ucar, N. Murat Yagmurlu, Ali Bashan | Yıl: 2019 | Dergi/Kurum: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | İndeks: WOS.ESCI | Anahtar Kelimeler: Differential quadrature method, modified Burgers' equation, B-spline, Ru
The purpose of this work is obtain the numerical approximate solutions of the nonlinear modified Burgers' equation (MBE) via the modified cubic B-spline (MCB) differential quadrature methods (DQMs). The accuracy and effectiveness of the methods are measured and reported by finding out error normsL(2) and L-infinity. The present numerical results have been compared with some earlier studies and this comparison clearly indicates that the method is an outstanding numerical scheme for the solution of the MBE. A stability analysis has at the same time been given.