A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation
A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations. Stability, consistency, and convergence of the new method are analyzed. A s...
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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/10.1155/2013/129404 |
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| _version_ | 1832561178792951808 |
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| author | Lijuan Su Pei Cheng |
| author_facet | Lijuan Su Pei Cheng |
| author_sort | Lijuan Su |
| collection | DOAJ |
| description | A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations. Stability, consistency, and convergence of the new method are analyzed. A simple and accurate stability criterion valid for this method, arbitrary weighted factor, and arbitrary fractional derivative is given. Some numerical examples with known exact solutions are provided. |
| format | Article |
| id | doaj-art-d30cb65eff8e430ca04c3f7e44dd7256 |
| 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-d30cb65eff8e430ca04c3f7e44dd72562025-02-03T01:25:44ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/129404129404A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion EquationLijuan Su0Pei Cheng1School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, ChinaA weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations. Stability, consistency, and convergence of the new method are analyzed. A simple and accurate stability criterion valid for this method, arbitrary weighted factor, and arbitrary fractional derivative is given. Some numerical examples with known exact solutions are provided.http://dx.doi.org/10.1155/2013/129404 |
| spellingShingle | Lijuan Su Pei Cheng A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation Advances in Mathematical Physics |
| title | A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation |
| title_full | A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation |
| title_fullStr | A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation |
| title_full_unstemmed | A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation |
| title_short | A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation |
| title_sort | weighted average finite difference method for the fractional convection diffusion equation |
| url | http://dx.doi.org/10.1155/2013/129404 |
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