Finite Element Method for Linear Multiterm Fractional Differential Equations
We consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, betwee...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/482890 |
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| _version_ | 1850209678718402560 |
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| author | Abdallah A. Badr |
| author_facet | Abdallah A. Badr |
| author_sort | Abdallah A. Badr |
| collection | DOAJ |
| description | We consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, between our techniques and other previous numerical methods is established. |
| format | Article |
| id | doaj-art-950d87af84f04311b0994494e2cf8bf1 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-950d87af84f04311b0994494e2cf8bf12025-08-20T02:09:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/482890482890Finite Element Method for Linear Multiterm Fractional Differential EquationsAbdallah A. Badr0Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptWe consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, between our techniques and other previous numerical methods is established.http://dx.doi.org/10.1155/2012/482890 |
| spellingShingle | Abdallah A. Badr Finite Element Method for Linear Multiterm Fractional Differential Equations Journal of Applied Mathematics |
| title | Finite Element Method for Linear Multiterm Fractional Differential Equations |
| title_full | Finite Element Method for Linear Multiterm Fractional Differential Equations |
| title_fullStr | Finite Element Method for Linear Multiterm Fractional Differential Equations |
| title_full_unstemmed | Finite Element Method for Linear Multiterm Fractional Differential Equations |
| title_short | Finite Element Method for Linear Multiterm Fractional Differential Equations |
| title_sort | finite element method for linear multiterm fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/482890 |
| work_keys_str_mv | AT abdallahabadr finiteelementmethodforlinearmultitermfractionaldifferentialequations |