A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain

被引：19

作者：

Du, Hong ^{[1
]}

Chen, Zhong ^{[2
]}

Yang, Tiejun ^{[1
]}

机构：

[1] GuangDong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 116卷

关键词：

Variable-order time fractional differential equation; Reproducing kernel space; Meshless method; Mercer kernel; Advection-diffusion equation;

D O I：

10.1016/j.aml.2020.107014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2020 Elsevier Ltd. All rights reserved.

引用

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