A Numerical Solution to Fractional Diffusion Equation for Force-Free Case
A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated wi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/187383 |
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| author | O. Tasbozan A. Esen N. M. Yagmurlu Y. Ucar |
| author_facet | O. Tasbozan A. Esen N. M. Yagmurlu Y. Ucar |
| author_sort | O. Tasbozan |
| collection | DOAJ |
| description | A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made. |
| format | Article |
| id | doaj-art-e39b43131908414489821de595015620 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e39b43131908414489821de5950156202025-02-03T05:44:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/187383187383A Numerical Solution to Fractional Diffusion Equation for Force-Free CaseO. Tasbozan0A. Esen1N. M. Yagmurlu2Y. Ucar3Department of Mathematics, Faculty of Art and Sciences, Inonu University, 44280 Malatya, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Inonu University, 44280 Malatya, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Inonu University, 44280 Malatya, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Inonu University, 44280 Malatya, TurkeyA collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.http://dx.doi.org/10.1155/2013/187383 |
| spellingShingle | O. Tasbozan A. Esen N. M. Yagmurlu Y. Ucar A Numerical Solution to Fractional Diffusion Equation for Force-Free Case Abstract and Applied Analysis |
| title | A Numerical Solution to Fractional Diffusion Equation for Force-Free Case |
| title_full | A Numerical Solution to Fractional Diffusion Equation for Force-Free Case |
| title_fullStr | A Numerical Solution to Fractional Diffusion Equation for Force-Free Case |
| title_full_unstemmed | A Numerical Solution to Fractional Diffusion Equation for Force-Free Case |
| title_short | A Numerical Solution to Fractional Diffusion Equation for Force-Free Case |
| title_sort | numerical solution to fractional diffusion equation for force free case |
| url | http://dx.doi.org/10.1155/2013/187383 |
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