Numerical solutions of the coupled Burgers' equation by the Galerkin quadratic B-spline finite element method

被引：35

作者：

Kutluay, S. ^{[1
]}

Ucar, Y. ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44280 Malatya, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 17期

关键词：

coupled Burgers' equation; FEM; Galerkin method; quadratic B-spline; PDEs; VARIATIONAL ITERATION METHOD; SOLVING BURGERS; HOMOTOPY PERTURBATION; TRANSFORMATION;

D O I：

10.1002/mma.2767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a coupled Burgers' equation has been numerically solved by a Galerkin quadratic B-spline FEM. The performance of the method has been examined on three test problems. Results obtained by the method have been compared with known exact solution and other numerical results in the literature. A Fourier stability analysis of the method is also investigated. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2403 / 2415

页数：13

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