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Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions |
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| Authors: | Mehdi Dehghan Behzad Nemati Saray Mehrdad Lakestani |
| Affiliation: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, , Tehran, Iran;2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, , Tabriz, Iran;3. Research Center For Industrial Mathematics, University of Tabriz, , Tabriz, Iran |
| Abstract: | The current paper proposes a technique for the numerical solution of Burgers equations. The method is based on finite difference formula combined with the Galerkin method, which uses the interpolating scaling functions. Several test problems are given, and the numerical results are reported to show the accuracy and efficiency of the new algorithm. Copyright © 2013 John Wiley & Sons, Ltd. |
| Keywords: | Burgers equation KdV– Burgers and coupled Burgers equations interpolating scaling functions mixed finite difference method operational matrix of derivative |