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

作     者：R.Mokhtari A.Samadi Toodar N.G.Chegini 

作者机构：Department of Mathematical SciencesIsfahan University of TechnologyIsfahan 84156-83111Iran Department of MathematicsTafresh UniversityTafresh 39518-79611Iran 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2011年第56卷第12期

页      面：1009-1015页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

摘      要：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) *** numerical solutions are satisfactorily coincident with the exact *** method can compete against the methods applied in the literature.