A numerical solution of Burgers' equation based on least squares approximation

被引：14

作者：

Aksan, EN ^{[1
]}

Özdes, A

Özis, T

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, Malatya, Turkey

[2] Ege Univ, Fac Sci, Dept Math, Izmir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 01期

关键词：

Burgers' equation; method of discretization in time; least squares method;

D O I：

10.1016/j.amc.2005.09.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Burgers' equation which is one-dimensional non-linear partial differential equation was converted to p non-linear ordinary differential equations by using the method of discretization in time. Each of them was solved by the least squares method. For various values of viscosity at different time steps, the numerical solutions obtained were compared with the exact solutions. It was seen that both of them were in excellent agreement. While the exact solution was not available for viscosity smaller than 0.01, it was shown that mathematical structure of the equation for the obtained numerical solutions did not decay. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：270 / 279

页数：10

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