A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations
Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is ba...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/648595 |
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| author | Lijuan Su Pei Cheng |
| author_facet | Lijuan Su Pei Cheng |
| author_sort | Lijuan Su |
| collection | DOAJ |
| description | Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The stability, consistency, convergence, and error estimate of the method are obtained. An example is also given to illustrate the applicability of theoretical results. |
| format | Article |
| id | doaj-art-2b27ce56461d42f6a4ee4468a94ba4e4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2b27ce56461d42f6a4ee4468a94ba4e42025-08-20T03:54:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/648595648595A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion EquationsLijuan Su0Pei Cheng1School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, ChinaFractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The stability, consistency, convergence, and error estimate of the method are obtained. An example is also given to illustrate the applicability of theoretical results.http://dx.doi.org/10.1155/2013/648595 |
| spellingShingle | Lijuan Su Pei Cheng A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations Journal of Applied Mathematics |
| title | A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations |
| title_full | A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations |
| title_fullStr | A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations |
| title_full_unstemmed | A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations |
| title_short | A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations |
| title_sort | high accuracy moc fd method for solving fractional advection diffusion equations |
| url | http://dx.doi.org/10.1155/2013/648595 |
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