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

Hong Du; Xinyue Yang; Zhong Chen

doi:10.1016/j.aml.2023.108619

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

Hong Du
, Xinyue Yang
, Zhong Chen^*

^*Corresponding author for this work

Guangdong Ocean University
Lanzhou University
Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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(Ω) 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.

Original language	English
Article number	108619
Journal	Applied Mathematics Letters
Volume	141
DOIs	https://doi.org/10.1016/j.aml.2023.108619
State	Published - Jul 2023
Externally published	Yes

Keywords

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

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10.1016/j.aml.2023.108619

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title = "Meshless method of solving multi-term time-fractional integro-differential equation",

abstract = "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(Ω) 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.",

keywords = "Arbitrary planar domain, Cardinal Sine function, Meshless method, Multi-term time-fractional integro-differential equation, The minimum residual solution",

author = "Hong Du and Xinyue Yang and Zhong Chen",

note = "Publisher Copyright: {\textcopyright} 2023",

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T1 - Meshless method of solving multi-term time-fractional integro-differential equation

AU - Du, Hong

AU - Yang, Xinyue

AU - Chen, Zhong

PY - 2023/7

Y1 - 2023/7

N2 - 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(Ω) 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.

AB - 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(Ω) 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.

KW - Arbitrary planar domain

KW - Cardinal Sine function

KW - Meshless method

KW - Multi-term time-fractional integro-differential equation

KW - The minimum residual solution

UR - https://www.scopus.com/pages/publications/85148332635

U2 - 10.1016/j.aml.2023.108619

DO - 10.1016/j.aml.2023.108619

M3 - 文章

AN - SCOPUS:85148332635

SN - 0893-9659

VL - 141

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108619

ER -

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

Abstract

Keywords

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