Shock wave simulations using Sinc Differential Quadrature Method

被引：105

作者：

Korkmaz, Alper ^{[1
]}

Dag, Idris ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Fac Sci, Dept Math, Cankiri, Turkey

[2] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, Eskisehir, Turkey

来源：

ENGINEERING COMPUTATIONS | 2011年 / 28卷 / 5-6期

关键词：

Sinc functions; Differential quadrature method; Burgers' equation; Shock waves; Number theory; Heat conduction; DISTRIBUTED SYSTEM EQUATIONS; BOUNDARY-VALUE-PROBLEMS; COLLOCATION METHOD; BURGERS-EQUATION; NUMERICAL-SOLUTIONS; COMPUTATION; INSIGHTS;

D O I：

10.1108/02644401111154619

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Purpose - This paper aims to present a numerical solution of non-linear Burger's equation using differential quadrature method based on sinc functions. Design/methodology/approach - Sinc Differential Quadrature Method is used for space discretization and four stage Runge-Kutta algorithm is used for time discretization. A rate of convergency analysis is also performed for shock-like solution. Numerical stability analysis is performed. Findings - Sinc Differential Quadrature Method generates more accurate solutions of Burgers' equation when compared with the other methods.. Originality/value - This combination, Sinc Differential Quadrature and Runge-Kutta of order four, has not been used to obtain numerical solutions of Burgers' equation.

引用

页码：654 / 674

页数：21

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