A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems
We propose a new numerical meshfree scheme to solve time-dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences. Finite difference method is adopted...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/978310 |
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| _version_ | 1832564026668744704 |
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| author | Ziwu Jiang Lingde Su Tongsong Jiang |
| author_facet | Ziwu Jiang Lingde Su Tongsong Jiang |
| author_sort | Ziwu Jiang |
| collection | DOAJ |
| description | We propose a new numerical meshfree scheme to solve time-dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences. Finite difference method is adopted to deal with time variable and its derivative, and radial basis functions method is developed for spatial discretization. The results of numerical experiments are presented and are compared with analytical solutions to confirm the accuracy of our scheme. |
| format | Article |
| id | doaj-art-f9b880d121ea47b8ba3461886f8bca6c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f9b880d121ea47b8ba3461886f8bca6c2025-02-03T01:12:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/978310978310A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent ProblemsZiwu Jiang0Lingde Su1Tongsong Jiang2Department of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaWe propose a new numerical meshfree scheme to solve time-dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences. Finite difference method is adopted to deal with time variable and its derivative, and radial basis functions method is developed for spatial discretization. The results of numerical experiments are presented and are compared with analytical solutions to confirm the accuracy of our scheme.http://dx.doi.org/10.1155/2014/978310 |
| spellingShingle | Ziwu Jiang Lingde Su Tongsong Jiang A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems Abstract and Applied Analysis |
| title | A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems |
| title_full | A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems |
| title_fullStr | A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems |
| title_full_unstemmed | A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems |
| title_short | A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems |
| title_sort | meshfree method for numerical solution of nonhomogeneous time dependent problems |
| url | http://dx.doi.org/10.1155/2014/978310 |
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