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

被引：22
|
作者：
Mokhtari, R. [1 ]
Toodar, A. Samadi [2 ]
Chegini, N. G. [2 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[2] Tafresh Univ, Dept Math, Tafresh 3951879611, Iran
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 06期
关键词：
generalized differential quadrature method (GDQM); total variation diminishing Runge-Kutta (TVD-RK) method; Burgers' equations; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; TRANSFORMATION; DIFFUSION; SCHEME; MODEL;
D O I：
10.1088/0253-6102/56/6/06
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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) method. The numerical solutions are satisfactorily coincident with the exact solutions. The method can compete against the methods applied in the literature.
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页码：1009 / 1015
页数：7
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