Application of the Generalized Differential Quadrature Method in Solving Burgers' Equations

作者：Mokhtari R^*; Toodar A Samadi; Chegini N G

来源：Communications in Theoretical Physics, 2011, 56(6): 1009-1015.

DOI：10.1088/0253-6102/56/6/06

• generalized differential quadrature method (GDQM)
• total variation diminishing Runge-Kutta (TVD-RK) method
• Burgers' equations

The aim of this paper is to obtain numerical solutions of the one-dimensional, two-dimensional and coupled Burgers' equations through the generalized differential quadrature method (GDQM). The polynomial-based differential quadrature (PDQ) method is employed and the obtained system of ordinary differential equations is solved via the total variation diminishing Runge-Kutta (TVD-RK) method. The numerical solutions are satisfactorily coincident with the exact solutions. The method can compete against the methods applied in the literature.

• 出版日期2011-12