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 AUS Archives Consent Form).

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.