Solution of Fractional Differential Equations: Variational Iteration Approach

Assadi, Reem Amer

dc.contributor.advisor	Khoury, Suheil A.
dc.contributor.author	Assadi, Reem Amer
dc.date.accessioned	2020-03-01T07:01:35Z
dc.date.available	2020-03-01T07:01:35Z
dc.date.issued	2019-12
dc.identifier.other	29.232-2019.04
dc.identifier.uri	http://hdl.handle.net/11073/16644
dc.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).	en_US
dc.description.abstract	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.	en_US
dc.description.sponsorship	College of Arts and Sciences	en_US
dc.description.sponsorship	Department of Mathematics and Statistics	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartofseries	Master of Science in Mathematics (MSMTH)	en_US
dc.subject	Generalized Variational Iteration Method	en_US
dc.subject	GVIM	en_US
dc.subject	Generalized Variational Iteration Method (GVIM)	en_US
dc.subject	Variational Iteration Approach	en_US
dc.subject	VIM	en_US
dc.subject	Variational Iteration Method (VIM)	en_US
dc.subject	Fractional differential equations	en_US
dc.title	Solution of Fractional Differential Equations: Variational Iteration Approach	en_US
dc.type	Thesis	en_US