Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation
This paper is concerned with two alternating direction implicit (ADI) finite difference methods for solving a two-dimensional fractional subdiffusion equation. An explicit error estimate for each of the two methods is provided in the discrete maximum norm. It is shown that the methods have the same...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/293706 |
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| _version_ | 1832556369087037440 |
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| author | Yuan-Ming Wang |
| author_facet | Yuan-Ming Wang |
| author_sort | Yuan-Ming Wang |
| collection | DOAJ |
| description | This paper is concerned with two alternating direction implicit (ADI) finite difference methods for solving a two-dimensional fractional subdiffusion equation. An explicit error estimate for each of the two methods is provided in the discrete maximum norm. It is shown that the methods have the same order as their truncation errors with respect to the discrete maximum norm. Numerical results are given to confirm the theoretical analysis results. |
| format | Article |
| id | doaj-art-e12374a4a4ea4858bdeeb5ed53d7f1cd |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e12374a4a4ea4858bdeeb5ed53d7f1cd2025-02-03T05:45:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/293706293706Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion EquationYuan-Ming Wang0Department of Mathematics, East China Normal University, Shanghai 200241, ChinaThis paper is concerned with two alternating direction implicit (ADI) finite difference methods for solving a two-dimensional fractional subdiffusion equation. An explicit error estimate for each of the two methods is provided in the discrete maximum norm. It is shown that the methods have the same order as their truncation errors with respect to the discrete maximum norm. Numerical results are given to confirm the theoretical analysis results.http://dx.doi.org/10.1155/2013/293706 |
| spellingShingle | Yuan-Ming Wang Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation Advances in Mathematical Physics |
| title | Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation |
| title_full | Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation |
| title_fullStr | Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation |
| title_full_unstemmed | Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation |
| title_short | Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation |
| title_sort | maximum norm error estimates of adi methods for a two dimensional fractional subdiffusion equation |
| url | http://dx.doi.org/10.1155/2013/293706 |
| work_keys_str_mv | AT yuanmingwang maximumnormerrorestimatesofadimethodsforatwodimensionalfractionalsubdiffusionequation |