NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS

Yıl 2019, Cilt: 37 Sayı: 1, 129 - 142, 01.03.2019

Yusuf Uçar Murat Yağmurlu Ali Başhan

Öz

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 norms L_2 and L_∞. 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.

Anahtar Kelimeler

Differential quadrature method, modified Burgers’ equation, B-spline, Runge-Kutta method

Kaynakça

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