Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method

Kutluay S., ESEN A., Dag İ.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.167, no.1, pp.21-33, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 167 Issue: 1
  • Publication Date: 2004
  • Doi Number: 10.1016/j.cam.2003.09.043
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.21-33
  • Keywords: Burgers' equation, least-squares finite element, quadratic B-spline, EXPLICIT, SCHEME
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this study, a least-squares quadratic B-spline finite element method for calculating the numerical solutions of the one-dimensional Burgers-like equations with appropriate boundary and initial conditions is presented. Three test problems have been studied to demonstrate the accuracy of the present method. Results obtained by the method have been compared with the exact solution of each problem and are found to be in good agreement with each other. A Fourier stability analysis of the method is also investigated. (C) 2003 Elsevier B.V. All rights reserved.