Numerical comparison of methods for solving fractional differential-algebraic equations (FDAEs)

Authors:
Birol İbiş;Mustafa Bayram
Affiliations:
Department of Main Sciences, Turkish Air Force Academy, 34149 Yeşilyurt, Istanbul, Turkey;Faculty of Chemical and Metallurgical Engineering, Mathematical Engineering, Yildiz Technical University, 34210-Davutpasa, Istanbul, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). Both methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. This paper presents a numerical comparison between these two methods and the homotopy analysis method (HAM) for solving FDAEs. Numerical results reveal that the VIM and the ADM are quite accurate and applicable.