期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 81, 期 11, 页码 1433-1444出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160412331286833
关键词
the Burgers equation; lumped Galerkin method; quadratic B-splines
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.
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