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.
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