B-spline Differential Quadrature Method for the Modified Burgers' Equation

Year 2015, Volume: 12 Issue: 1, - , 01.05.2015

Ali Başhan Seydi Battal Gazi Karakoc , Turabi Geyikli

Abstract

In this study, the Quintic B-spline Differential Quadrature method (QBDQM) is applied to find
the numerical solution of the modified Burgers’ equation (MBE). The efficiency and accuracy of the method
are measured by calculating the maximum error norm L∞ and the discrete root mean square error L2. The
obtained numerical results are compared with published numerical results and the comparison shows that the
method is an effective numerical scheme to solve the MBE. A rate of convergence analysis is also given.

Keywords

Partial differential equations, Differential quadrature method, Modified Burgers’ equation, Quintic B-Splines, Fourth order Runge-Kutta method

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