A space-time domain RBF method for 2D wave equations
In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the numerical solution of the wave equation with a newly-proposed space-time radial basis function to enhance...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-08-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1241196/full |
| _version_ | 1797740119514415104 |
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| author | Fu-Zhang Wang Fu-Zhang Wang Ming-Yu Shao Jia-Le Li Zhong-Liang Zhang |
| author_facet | Fu-Zhang Wang Fu-Zhang Wang Ming-Yu Shao Jia-Le Li Zhong-Liang Zhang |
| author_sort | Fu-Zhang Wang |
| collection | DOAJ |
| description | In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the numerical solution of the wave equation with a newly-proposed space-time radial basis function to enhance the numerical stability. The wave equation was discretized into equivalent algebraic equations. By specifying boundary and initial conditions, the wave propagation in a two-dimensional domain can be virtually reconstructed. Our results exhibit that the semi-analytical meshless method is suitable and efficient for solving multi-dimensional wave equations. |
| first_indexed | 2024-03-12T14:07:57Z |
| format | Article |
| id | doaj.art-a01105ddf4c44e12910118d824bce4ad |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-12T14:07:57Z |
| publishDate | 2023-08-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-a01105ddf4c44e12910118d824bce4ad2023-08-21T13:37:27ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-08-011110.3389/fphy.2023.12411961241196A space-time domain RBF method for 2D wave equationsFu-Zhang Wang0Fu-Zhang Wang1Ming-Yu Shao2Jia-Le Li3Zhong-Liang Zhang4Key Laboratory of Southeast Coast Marine Information Intelligent Perception and Application, Ministry of Natural Resources, Zhangzhou, ChinaSchool of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, ChinaSchool of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, ChinaSchool of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, ChinaSchool of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, ChinaIn the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the numerical solution of the wave equation with a newly-proposed space-time radial basis function to enhance the numerical stability. The wave equation was discretized into equivalent algebraic equations. By specifying boundary and initial conditions, the wave propagation in a two-dimensional domain can be virtually reconstructed. Our results exhibit that the semi-analytical meshless method is suitable and efficient for solving multi-dimensional wave equations.https://www.frontiersin.org/articles/10.3389/fphy.2023.1241196/fullsemi-analytical methodradial basis functionmeshless methodwave equationnumerical simulation |
| spellingShingle | Fu-Zhang Wang Fu-Zhang Wang Ming-Yu Shao Jia-Le Li Zhong-Liang Zhang A space-time domain RBF method for 2D wave equations Frontiers in Physics semi-analytical method radial basis function meshless method wave equation numerical simulation |
| title | A space-time domain RBF method for 2D wave equations |
| title_full | A space-time domain RBF method for 2D wave equations |
| title_fullStr | A space-time domain RBF method for 2D wave equations |
| title_full_unstemmed | A space-time domain RBF method for 2D wave equations |
| title_short | A space-time domain RBF method for 2D wave equations |
| title_sort | space time domain rbf method for 2d wave equations |
| topic | semi-analytical method radial basis function meshless method wave equation numerical simulation |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1241196/full |
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