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Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations |
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| Authors: | Zhang Rong-Pei Yu Xi-Jun and Zhao Guo-Zhong |
| Institution: | School of Sciences, Liaoning ShiHua University, Fushun 113001, China;Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;. |
| Abstract: | In the current work, we extend the local discontinuous Galerkin method to a more general application system. The Burgers and coupled Burgers equations are solved by the local discontinuous Galerkin method. Numerical experiments are given to verify the efficiency and accuracy of our method. Moreover the numerical results show that the method can approximate sharp fronts accurately with minimal oscillation. |
| Keywords: | local discontinuous Galerkin method Burgers equation coupled Burgers equation |
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