Quadratic B-spline finite element method for numerical solution of the Burgers' equation

被引：59

作者：

Aksan, EN ^{[1
]}

机构：

[1] Inoni Univ, Fac Arts & Sci, Dept Math, TR-44069 Malatya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 02期

关键词：

Burgers' equation; the method of discretization in time; Galerkin method; quadratic B-spline finite element method;

D O I：

10.1016/j.amc.2005.05.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the one-dimensional nonlinear Burgers' equation was converted to a set of nonlinear ordinary differential equations by the method of discretization in time and then each of them was solved by applying the quadratic B-spline finite element method. In order to show the efficiency of the presented method two problems were considered. The numerical solutions obtained for various values of viscosity were compared with the exact solutions. It is seen that the results obtained by this way are quite satisfactory. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：884 / 896

页数：13

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