Application of the Generalized Differential Quadrature Method in Solving 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 diffe...

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Bibliographic Details
Published in:Communications in theoretical physics 2011-12, Vol.56 (12), p.1009-1015
Main Authors: Mokhtari, R, Toodar, A. Samadi, Chegini, N.G
Format: Article
Language:English
Subjects:
Burgers方程
Differential equations
Exact solutions
Generalized differential quadrature method
Mathematical analysis
Mathematical models
PDQ
Quadratures
Runge-Kutta method
TVD
Two dimensional
多项式
常微分方程
广义微分求积法
应用
数值解
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Summary: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/56/6/06