A new meshless method of solving 2D fractional diffusion-wave equations

Hong Du; Zhong Chen

doi:10.1016/j.aml.2022.108004

A new meshless method of solving 2D fractional diffusion-wave equations

Hong Du
, Zhong Chen^*

^*Corresponding author for this work

Guangdong Ocean University
Harbin Institute of Technology Weihai

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

9 Scopus citations

Abstract

In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C²(Ω). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method.

Original language	English
Article number	108004
Journal	Applied Mathematics Letters
Volume	130
DOIs	https://doi.org/10.1016/j.aml.2022.108004
State	Published - Aug 2022
Externally published	Yes

Keywords

Diffusion-wave equation
Meshless method
The minimum residual solution

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10.1016/j.aml.2022.108004

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@article{b77eda54234543a88a729afe6893d8d9,

title = "A new meshless method of solving 2D fractional diffusion-wave equations",

abstract = "In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C2(Ω). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method.",

keywords = "Diffusion-wave equation, Meshless method, The minimum residual solution",

author = "Hong Du and Zhong Chen",

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

year = "2022",

month = aug,

doi = "10.1016/j.aml.2022.108004",

language = "英语",

volume = "130",

journal = "Applied Mathematics Letters",

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publisher = "Elsevier Ltd",

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TY - JOUR

T1 - A new meshless method of solving 2D fractional diffusion-wave equations

AU - Du, Hong

AU - Chen, Zhong

PY - 2022/8

Y1 - 2022/8

N2 - In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C2(Ω). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method.

AB - In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C2(Ω). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method.

KW - Diffusion-wave equation

KW - Meshless method

KW - The minimum residual solution

UR - https://www.scopus.com/pages/publications/85125468261

U2 - 10.1016/j.aml.2022.108004

DO - 10.1016/j.aml.2022.108004

M3 - 文章

AN - SCOPUS:85125468261

SN - 0893-9659

VL - 130

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108004

ER -

A new meshless method of solving 2D fractional diffusion-wave equations

Abstract

Keywords

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