Article ID Journal Published Year Pages File Type
9506950 Applied Mathematics and Computation 2005 13 Pages PDF
Abstract
In the present paper numerical solutions of the one-dimensional Burgers' equation are obtained by a method based on collocation of cubic B-splines over finite elements. The accuracy of the proposed method is demonstrated by three test problems. The numerical results are found in good agreement with exact solutions. Time-space integration of the Burgers' equation yields a system of difference equation which is shown to be unconditionally stable.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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