A meshless method for solving two-dimensional distributed-order time-fractional cable equation

Zihan Yue; Wei Jiang; Zhuoyue Liu; Biao Zhang

doi:10.1016/j.aml.2022.108565

A meshless method for solving two-dimensional distributed-order time-fractional cable equation

Zihan Yue
, Wei Jiang^*
, Zhuoyue Liu
, Biao Zhang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin Institute of Technology Weihai

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

6 Scopus citations

Abstract

In this paper, a meshless method is proposed for solving two-dimensional distributed-order time-fractional cable equation. This method uses the basis functions that constructed by Gauss kernel as shape functions. Then we introduce the minimum residual approximate solution to get approximate solution and provide error estimation under the condition of well-posed equations. Finally, we provide two numerical examples to verify the accuracy of our method.

Original language	English
Article number	108565
Journal	Applied Mathematics Letters
Volume	140
DOIs	https://doi.org/10.1016/j.aml.2022.108565
State	Published - Jun 2023

Keywords

Cable equation
Distributed order differential equation
Meshless method
The minimum residual solution
Two-dimensional

Access to Document

10.1016/j.aml.2022.108565

Cite this

@article{615f6c7e29a94e289c84644a98cbb979,

title = "A meshless method for solving two-dimensional distributed-order time-fractional cable equation",

abstract = "In this paper, a meshless method is proposed for solving two-dimensional distributed-order time-fractional cable equation. This method uses the basis functions that constructed by Gauss kernel as shape functions. Then we introduce the minimum residual approximate solution to get approximate solution and provide error estimation under the condition of well-posed equations. Finally, we provide two numerical examples to verify the accuracy of our method.",

keywords = "Cable equation, Distributed order differential equation, Meshless method, The minimum residual solution, Two-dimensional",

author = "Zihan Yue and Wei Jiang and Zhuoyue Liu and Biao Zhang",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2023",

month = jun,

doi = "10.1016/j.aml.2022.108565",

language = "英语",

volume = "140",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - A meshless method for solving two-dimensional distributed-order time-fractional cable equation

AU - Yue, Zihan

AU - Jiang, Wei

AU - Liu, Zhuoyue

AU - Zhang, Biao

PY - 2023/6

Y1 - 2023/6

N2 - In this paper, a meshless method is proposed for solving two-dimensional distributed-order time-fractional cable equation. This method uses the basis functions that constructed by Gauss kernel as shape functions. Then we introduce the minimum residual approximate solution to get approximate solution and provide error estimation under the condition of well-posed equations. Finally, we provide two numerical examples to verify the accuracy of our method.

AB - In this paper, a meshless method is proposed for solving two-dimensional distributed-order time-fractional cable equation. This method uses the basis functions that constructed by Gauss kernel as shape functions. Then we introduce the minimum residual approximate solution to get approximate solution and provide error estimation under the condition of well-posed equations. Finally, we provide two numerical examples to verify the accuracy of our method.

KW - Cable equation

KW - Distributed order differential equation

KW - Meshless method

KW - The minimum residual solution

KW - Two-dimensional

UR - https://www.scopus.com/pages/publications/85149438921

U2 - 10.1016/j.aml.2022.108565

DO - 10.1016/j.aml.2022.108565

M3 - 文章

AN - SCOPUS:85149438921

SN - 0893-9659

VL - 140

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108565

ER -

A meshless method for solving two-dimensional distributed-order time-fractional cable equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this