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.

引用

页码：1009 / 1015

页数：7

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