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An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.

Finite cloud method (FCM) employs the fixed kernel reproducing technique to construct the interpolation function and point collocation approach is adopted for the discretization. In this study, an improved FCM is proposed such that a node of interest is approximated with its nearest cloud. This feat...

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Main Authors: Oh, Miew Leng, Hang, See Pheng
Format: Article
Language:English
Published: Etamaths Publishing 2023
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/105459/1/MiewLengOh2023_AnImprovedFiniteCloudMethodWithUniformlyDistributed.pdf
http://eprints.utm.my/105459/
http://dx.doi.org/10.28924/2291-8639-21-2023-12
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spelling my.utm.1054592024-05-02T02:47:01Z http://eprints.utm.my/105459/ An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions. Oh, Miew Leng Hang, See Pheng QA Mathematics Finite cloud method (FCM) employs the fixed kernel reproducing technique to construct the interpolation function and point collocation approach is adopted for the discretization. In this study, an improved FCM is proposed such that a node of interest is approximated with its nearest cloud. This feature enables a set of uniformly distributed clouds of various densities such that all the information in the problem domain is captured and stored in the clouds. Additionally, the instability of FCM near the boundaries is treated by having the boundary nodes also satisfy the governing differential equation. Besides, a splitting mechanism is suggested for the node refinement to improve the accuracy of solution. Parameters are introduced to control the density of clouds and the singularity of the moment matrices associated with the clouds. Thus, a more controllable numerical simulation is developed. Numerical examples are presented and the results have shown that the improved FCM produces a stable and better accuracy of solution. Etamaths Publishing 2023-02-27 Article PeerReviewed application/pdf en http://eprints.utm.my/105459/1/MiewLengOh2023_AnImprovedFiniteCloudMethodWithUniformlyDistributed.pdf Oh, Miew Leng and Hang, See Pheng (2023) An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions. International Journal Of Analysis And Applications, 21 (12). pp. 1-22. ISSN 2291-8639 http://dx.doi.org/10.28924/2291-8639-21-2023-12 DOI: 10.28924/2291-8639-21-2023-12
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Oh, Miew Leng
Hang, See Pheng
An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
description Finite cloud method (FCM) employs the fixed kernel reproducing technique to construct the interpolation function and point collocation approach is adopted for the discretization. In this study, an improved FCM is proposed such that a node of interest is approximated with its nearest cloud. This feature enables a set of uniformly distributed clouds of various densities such that all the information in the problem domain is captured and stored in the clouds. Additionally, the instability of FCM near the boundaries is treated by having the boundary nodes also satisfy the governing differential equation. Besides, a splitting mechanism is suggested for the node refinement to improve the accuracy of solution. Parameters are introduced to control the density of clouds and the singularity of the moment matrices associated with the clouds. Thus, a more controllable numerical simulation is developed. Numerical examples are presented and the results have shown that the improved FCM produces a stable and better accuracy of solution.
format Article
author Oh, Miew Leng
Hang, See Pheng
author_facet Oh, Miew Leng
Hang, See Pheng
author_sort Oh, Miew Leng
title An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
title_short An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
title_full An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
title_fullStr An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
title_full_unstemmed An improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
title_sort improved finite cloud method with uniformly distributed clouds and enhanced boundary conditions.
publisher Etamaths Publishing
publishDate 2023
url http://eprints.utm.my/105459/1/MiewLengOh2023_AnImprovedFiniteCloudMethodWithUniformlyDistributed.pdf
http://eprints.utm.my/105459/
http://dx.doi.org/10.28924/2291-8639-21-2023-12
_version_ 1800082621675339776
score 13.211869

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