A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes car...
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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/10.1155/2014/898217 |
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| author | Leilei Wei Xindong Zhang |
| author_facet | Leilei Wei Xindong Zhang |
| author_sort | Leilei Wei |
| collection | DOAJ |
| description | We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes carefully, we prove that our scheme is unconditionally stable and convergent. Finally, numerical examples are performed to illustrate the effectiveness and the accuracy of the method. |
| format | Article |
| id | doaj-art-74e2a9ce360244d2bb84e63844b15d55 |
| 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-74e2a9ce360244d2bb84e63844b15d552025-02-03T01:01:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/898217898217A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion EquationsLeilei Wei0Xindong Zhang1Department of Mathematics, Henan University of Technology, Zhengzhou 450001, ChinaCollege of Mathematics Sciences, Xinjiang Normal University, Urumqi 830054, ChinaWe propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes carefully, we prove that our scheme is unconditionally stable and convergent. Finally, numerical examples are performed to illustrate the effectiveness and the accuracy of the method.http://dx.doi.org/10.1155/2014/898217 |
| spellingShingle | Leilei Wei Xindong Zhang A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations Abstract and Applied Analysis |
| title | A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations |
| title_full | A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations |
| title_fullStr | A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations |
| title_full_unstemmed | A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations |
| title_short | A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations |
| title_sort | computational study of an implicit local discontinuous galerkin method for time fractional diffusion equations |
| url | http://dx.doi.org/10.1155/2014/898217 |
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