B-spline Galerkin methods for numerical solutions of the Burgers’ equation

B-spline Galerkin methods for numerical solutions of the Burgers’ equation The first order splitting method is applied to the Burgers’ equation and two numerical algorithms are set up for this time-splitted Burgers’ equation using both quadratic and cubic B-spline Galerkin finite element techniques. The unknowns in the equation is resolved with the B-splines in space and standart Crank–Nicolson differencing schemes is used to advance solution in time. Results of three numerical test problems are used to compare each schemes with available some results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Computation Elsevier

B-spline Galerkin methods for numerical solutions of the Burgers’ equation

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Publisher
Elsevier
Copyright
Copyright © 2004 Elsevier Inc.
ISSN
0096-3003
eISSN
1873-5649
DOI
10.1016/j.amc.2004.06.078
Publisher site
See Article on Publisher Site

Abstract

The first order splitting method is applied to the Burgers’ equation and two numerical algorithms are set up for this time-splitted Burgers’ equation using both quadratic and cubic B-spline Galerkin finite element techniques. The unknowns in the equation is resolved with the B-splines in space and standart Crank–Nicolson differencing schemes is used to advance solution in time. Results of three numerical test problems are used to compare each schemes with available some results.

Journal

Applied Mathematics and ComputationElsevier

Published: Jul 26, 2005

References

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