Meshless method of solving multi-term time-fractional integro-differential equation

被引：4

作者：

Du, Hong ^{[1
]}

Yang, Xinyue ^{[2
]}

Chen, Zhong ^{[3
]}

机构：

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

[2] Lanzhou Univ, Coll Earth & Environm Sci, Lanzhou 730000, Gansu, Peoples R China

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

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 141卷

关键词：

Multi-term time-fractional; integro-differential equation; The minimum residual solution; Meshless method; Cardinal Sine function; Arbitrary planar domain; NUMERICAL-SOLUTION; DIFFERENCE SCHEME;

D O I：

10.1016/j.aml.2023.108619

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we proposed a new meshless method of solving the minimum residual approximate (MRA) solution for multi-term time-fractional integro-differential equation (MTFIDE). The theory of polynomial functions dense in C2(ohm) lays a theoretical foundation for the meshless method. A new 2D dense subset are constructed based on Cardinal Sine and polynomial functions. Hence, the MRA solution of the MTFIDE is obtained. (c) 2023 Published by Elsevier Ltd.

引用

页数：8

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