Numerical approach for solving time fractional diffusion equation
In this article one of the fractional partial differential equations was solved by finite difference scheme based on five point and three point central space method with discretization in time. We use between the Caputo and the Riemann-Liouville derivative definition and the Grünwald-Letnikov opera...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Balikesir University
2017-11-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Online Access: | http://ijocta.org/index.php/files/article/view/492 |
| _version_ | 1797909288222457856 |
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| author | Dilara Altan Koç Mustafa Gülsu |
| author_facet | Dilara Altan Koç Mustafa Gülsu |
| author_sort | Dilara Altan Koç |
| collection | DOAJ |
| description | In this article one of the fractional partial differential equations was solved by finite difference scheme based on five point and three point central space method with discretization in time. We use between the Caputo and the Riemann-Liouville derivative definition and the Grünwald-Letnikov operator for the fractional calculus. The stability analysis of this scheme is examined by using von-Neumann method. A comparison between exact solutions and numerical solutions is made. Some figures and tables are included. |
| first_indexed | 2024-04-10T11:05:51Z |
| format | Article |
| id | doaj.art-a630d488dfa945c68c359380d90218f9 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T11:05:51Z |
| publishDate | 2017-11-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-a630d488dfa945c68c359380d90218f92023-02-15T16:19:27ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032017-11-017310.11121/ijocta.01.2017.00492Numerical approach for solving time fractional diffusion equationDilara Altan Koç0Mustafa Gülsu1Mugla Sitki Kocman UniversityMugla Sitki Kocman UniversityIn this article one of the fractional partial differential equations was solved by finite difference scheme based on five point and three point central space method with discretization in time. We use between the Caputo and the Riemann-Liouville derivative definition and the Grünwald-Letnikov operator for the fractional calculus. The stability analysis of this scheme is examined by using von-Neumann method. A comparison between exact solutions and numerical solutions is made. Some figures and tables are included.http://ijocta.org/index.php/files/article/view/492 |
| spellingShingle | Dilara Altan Koç Mustafa Gülsu Numerical approach for solving time fractional diffusion equation An International Journal of Optimization and Control: Theories & Applications |
| title | Numerical approach for solving time fractional diffusion equation |
| title_full | Numerical approach for solving time fractional diffusion equation |
| title_fullStr | Numerical approach for solving time fractional diffusion equation |
| title_full_unstemmed | Numerical approach for solving time fractional diffusion equation |
| title_short | Numerical approach for solving time fractional diffusion equation |
| title_sort | numerical approach for solving time fractional diffusion equation |
| url | http://ijocta.org/index.php/files/article/view/492 |
| work_keys_str_mv | AT dilaraaltankoc numericalapproachforsolvingtimefractionaldiffusionequation AT mustafagulsu numericalapproachforsolvingtimefractionaldiffusionequation |