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Modified Burgers equation by local discontinuous Galerkin method |
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| Authors: | Zhang Rong-Pei Yu Xi-Jun Zhao Guo-Zhong |
| Institution: | a School of Sciences, Liaoning ShiHua University, Fushun 113001, China;b Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;c Faculty of Mathematics, Baotou Normal College, Baotou 014030, China |
| Abstract: | In this paper, we present the local discontinuous Galerkin method for solving Burgers’ equation and the modified Burgers’ equation. We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail. The method is applied to the solution of the one-dimensional viscous Burgers’ equation and two forms of the modified Burgers’ equation. The numerical results indicate that the method is very accurate and efficient. |
| Keywords: | local discontinuous Galerkin method Burgers equation modified Burgers’ equation |
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