Solution of Fractional Differential Equations: Variational Iteration Approach
A Master of Science thesis in Mathematics by Reem Amer Assadi entitled, “Solution of Fractional Differential Equations: Variational Iteration Approachs”, submitted in December 2019. Thesis advisor is Dr. Suheil Khoury. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and...
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| Format: | doctoralThesis |
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2019
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| Online Access: | http://hdl.handle.net/11073/16644 |
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| _version_ | 1864513433971458048 |
|---|---|
| author | Assadi, Reem Amer |
| author_facet | Assadi, Reem Amer |
| author_role | author |
| dc.contributor.none.fl_str_mv | Khoury, Suheil A. |
| dc.creator.none.fl_str_mv | Assadi, Reem Amer |
| dc.date.none.fl_str_mv | 2019-12 2020-03-01T07:01:35Z 2020-03-01T07:01:35Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | 29.232-2019.04 http://hdl.handle.net/11073/16644 |
| dc.language.none.fl_str_mv | en_US |
| dc.subject.none.fl_str_mv | Generalized Variational Iteration Method GVIM Generalized Variational Iteration Method (GVIM) Variational Iteration Approach VIM Variational Iteration Method (VIM) Fractional differential equations |
| dc.title.none.fl_str_mv | Solution of Fractional Differential Equations: Variational Iteration Approach |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/doctoralThesis |
| description | A Master of Science thesis in Mathematics by Reem Amer Assadi entitled, “Solution of Fractional Differential Equations: Variational Iteration Approachs”, submitted in December 2019. Thesis advisor is Dr. Suheil Khoury. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form). |
| format | doctoralThesis |
| id | aus_e36b0baf7f0ab412c53d2ca40b974a12 |
| identifier_str_mv | 29.232-2019.04 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16644 |
| publishDate | 2019 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Solution of Fractional Differential Equations: Variational Iteration ApproachAssadi, Reem AmerGeneralized Variational Iteration MethodGVIMGeneralized Variational Iteration Method (GVIM)Variational Iteration ApproachVIMVariational Iteration Method (VIM)Fractional differential equationsA Master of Science thesis in Mathematics by Reem Amer Assadi entitled, “Solution of Fractional Differential Equations: Variational Iteration Approachs”, submitted in December 2019. Thesis advisor is Dr. Suheil Khoury. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form).This thesis discusses a newly introduced numerical scheme for fractional differential equations. The strategy is an extension of the Variational Iteration Method (VIM) and is suitable for boundary value problems (BVPs). The presented Generalized Variational Iteration Method (GVIM) is particularly used for tackling BVPs. The scheme yields accurate solutions for which the errors are uniformly distributed across the domain. The numerical results confirm that this approach is reliable, and has a high convergence rate compared to other existing methods.College of Arts and SciencesDepartment of Mathematics and StatisticsMaster of Science in Mathematics (MSMTH)Khoury, Suheil A.2020-03-01T07:01:35Z2020-03-01T07:01:35Z2019-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf29.232-2019.04http://hdl.handle.net/11073/16644en_USoai:repository.aus.edu:11073/166442025-06-26T12:27:41Z |
| spellingShingle | Solution of Fractional Differential Equations: Variational Iteration Approach Assadi, Reem Amer Generalized Variational Iteration Method GVIM Generalized Variational Iteration Method (GVIM) Variational Iteration Approach VIM Variational Iteration Method (VIM) Fractional differential equations |
| status_str | publishedVersion |
| title | Solution of Fractional Differential Equations: Variational Iteration Approach |
| title_full | Solution of Fractional Differential Equations: Variational Iteration Approach |
| title_fullStr | Solution of Fractional Differential Equations: Variational Iteration Approach |
| title_full_unstemmed | Solution of Fractional Differential Equations: Variational Iteration Approach |
| title_short | Solution of Fractional Differential Equations: Variational Iteration Approach |
| title_sort | Solution of Fractional Differential Equations: Variational Iteration Approach |
| topic | Generalized Variational Iteration Method GVIM Generalized Variational Iteration Method (GVIM) Variational Iteration Approach VIM Variational Iteration Method (VIM) Fractional differential equations |
| url | http://hdl.handle.net/11073/16644 |