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

Authors : Yusuf UÇAR, Murat YAĞMURLU, Ali BAŞHAN

Pages : 129-142

View : 35 | Download : 7

Publication Date : 2019-03-01

Article Type : Research Paper

Abstract :The purpose of this work is obtain the numerical approximate solutions of the nonlinear modified Burgers’ equation insert ignore into journalissuearticles values(MBE); via the modified cubic B-spline insert ignore into journalissuearticles values(MCB); differential quadrature methods insert ignore into journalissuearticles values(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.
Keywords : Differential quadrature method, modified Burgers equation, B spline, Runge Kutta method

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