A lumped Galerkin method for solving the Burgers equation
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.81, no.11, pp.1433-1444, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 81 Issue: 11
- Publication Date: 2004
- Doi Number: 10.1080/00207160412331286833
- Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1433-1444
- Keywords: the Burgers equation, lumped Galerkin method, quadratic B-splines, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, BOUNDARY, EXPLICIT
- Inonu University Affiliated: Yes
Abstract
A numerical solution of the one-dimensional Burgers equation is obtained using a lumped Galerkin method with quadratic B-spline finite elements. The scheme is implemented to solve a set of test problems with known exact solutions. Results are compared with published numerical and exact solutions. The proposed scheme performs well. A linear stability analysis shows the scheme to be unconditionally stable.