Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations. (29th August 2012)

• Record Type: Journal Article
• Authors: Turut, Veyis; Güzel, Nuran
• Other Names: Schimperna G. Academic Editor.; Shen W. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2012(2012)
• Publication Date: 2012-08-29
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2012/737206
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : Multivariate Padé approximation (MPA) is applied to numerically approximate the solutions of time-fractional reaction-diffusion equations, and the numerical results are compared with solutions obtained by the generalized differential transform method (GDTM). The fractional derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate the effectiveness of the multivariate Padé approximation (MPA). The results reveal that the multivariate Padé approximation (MPA) is very effective and convenient for solving time-fractional reaction-diffusion equations.