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A meshless method for solving mKdV equation
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DOI：10.1016/j.cpc.2012.02.006.png)
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摘要
En 中文
A meshless method based on a global collocation with radial basis functions for the numerical solution of the modified Korteweg-de Vries (mKdV) equation is presented. Standard types of radial basis functions are applied in the method of collocation. The stability analysis of the method is dealt with using a linearized stability analysis. The method's accuracy and efficiency are examined by the simulation of a single soliton and interaction of two solitary waves. The four invariants of the motion are evaluated to determine the conservation properties of the method. A comparison with some earlier reported results is also carried out. (C) 2012 Elsevier B.V. All rights reserved.
Keyword:
mKdV equation
RBF collocation method
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期刊
IF:
3.4
论文数:
1.2W
被引数:
3.7W
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