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A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-01-02 , DOI: 10.1016/j.aml.2020.107014
Hong Du , Zhong Chen , Tiejun Yang

In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples.



中文翻译:

再现核空间的无网格方法,用于求解任意域上的变阶时间分数阶对流扩散方程

提出了一种在无核域上求解VOTFA-DE的无核再现核空间的方法。所提出的无网格方法的优点可以有效地避免使用已知的Mercer核构造形状函数的困难并处理任意域。并通过两个例子验证了精度。

更新日期:2021-01-11
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