A meshless method for Burgers’ equation using MQ-RBF and high-order temporal approximation |
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Authors: | Huantian Xie Dingfang Li |
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Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2. School of Science, Linyi University, Linyi, Shandong 276005, China |
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Abstract: | In this paper, a new numerical method is proposed to solve one-dimensional Burgers’ equation using multiquadric (MQ) radial basis function (RBF) for spatial approximation and a second-order compact finite difference scheme for temporal approximation. The numerical results obtained by this way for different Reynolds number have been compared with the existing numerical schemes to show the accuracy and efficiency of the approach. To show the superiority of this meshless method, numerical experiments with non-uniform MQ interpolation node distribution are also performed. |
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Keywords: | Burgers&rsquo equation Multiquadric (MQ) Compact finite difference scheme |
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