科研之友
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摘要
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%26apos;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.
- 出版日期2012-6
