A new meshless method of solving 2D fractional diffusion-wave equations

被引：7
|
作者：
Du, Hong [1 ]
Chen, Zhong [2 ]
机构：
[1] GuangDong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China
[2] Harbin Inst Technol Weihai, Dept Math, Shandong 264209, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 130卷
关键词：
Meshless method; Diffusion-wave equation; The minimum residual solution; REPRODUCING KERNEL;
D O I：
10.1016/j.aml.2022.108004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C-2(Omega). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：8
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