A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients
A one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients. By constructing a simple extended radial basis function, it can be directly applied to wave propagation by using the strong form-based mesh free col...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2021-07-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2021.701512/full |
| _version_ | 1818886692514299904 |
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| author | Fuzhang Wang Fuzhang Wang Juan Zhang Imtiaz Ahmad Aamir Farooq Hijaz Ahmad |
| author_facet | Fuzhang Wang Fuzhang Wang Juan Zhang Imtiaz Ahmad Aamir Farooq Hijaz Ahmad |
| author_sort | Fuzhang Wang |
| collection | DOAJ |
| description | A one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients. By constructing a simple extended radial basis function, it can be directly applied to wave propagation by using the strong form-based mesh free collocation method. There is no need to deal with the time-dependent variable particularly. Numerical results for a viscous wave equation with variable coefficients show that the proposed mesh free collocation method is simple with accurate solutions. |
| first_indexed | 2024-12-19T16:25:23Z |
| format | Article |
| id | doaj.art-d33b5905526a4c52af0d55c26bd75357 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-19T16:25:23Z |
| publishDate | 2021-07-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-d33b5905526a4c52af0d55c26bd753572022-12-21T20:14:23ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-07-01910.3389/fphy.2021.701512701512A Novel Meshfree Strategy for a Viscous Wave Equation With Variable CoefficientsFuzhang Wang0Fuzhang Wang1Juan Zhang2Imtiaz Ahmad3Aamir Farooq4Hijaz Ahmad5College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, ChinaSchool of Computer Science and Technology, Huaibei Normal University, Huaibei, ChinaSchool of Computer Science and Technology, Huaibei Normal University, Huaibei, ChinaDepartment of Mathematics, University of Swabi, Swabi, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanSection of Mathematics, International Telematic University Uninettuno, Roma, ItalyA one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients. By constructing a simple extended radial basis function, it can be directly applied to wave propagation by using the strong form-based mesh free collocation method. There is no need to deal with the time-dependent variable particularly. Numerical results for a viscous wave equation with variable coefficients show that the proposed mesh free collocation method is simple with accurate solutions.https://www.frontiersin.org/articles/10.3389/fphy.2021.701512/fullradial basis functionswave equationsnumerical simulationmeshfree methodsvariable |
| spellingShingle | Fuzhang Wang Fuzhang Wang Juan Zhang Imtiaz Ahmad Aamir Farooq Hijaz Ahmad A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients Frontiers in Physics radial basis functions wave equations numerical simulation meshfree methods variable |
| title | A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients |
| title_full | A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients |
| title_fullStr | A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients |
| title_full_unstemmed | A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients |
| title_short | A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients |
| title_sort | novel meshfree strategy for a viscous wave equation with variable coefficients |
| topic | radial basis functions wave equations numerical simulation meshfree methods variable |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2021.701512/full |
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