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

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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