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Research Papers

Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

[+] Author and Article Information
Hossein Jafari

Department of Mathematics,
University of Mazandaran,
Babolsar 47416-95447, Iran
e-mail: jafari@umz.ac.ir

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 11, 2016; final manuscript received February 2, 2016; published online March 16, 2016. Assoc. Editor: Dumitru Baleanu.

J. Comput. Nonlinear Dynam 11(4), 041015 (Mar 16, 2016) (5 pages) Paper No: CND-16-1012; doi: 10.1115/1.4032767 History: Received January 11, 2016; Revised February 02, 2016

In this paper, we apply two decomposition methods, the Adomian decomposition method (ADM) and a well-established iterative method, to solve time-fractional Klein–Gordon type equation. We compare these methods and discuss the convergence of them. The obtained results reveal that these methods are very accurate and effective.

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Figures

Grahic Jump Location
Fig. 1

ADM approximate solution when α = 2

Grahic Jump Location
Fig. 2

ADM approximate solution when α = 1.98

Grahic Jump Location
Fig. 3

ADM approximate solution when α = 2

Grahic Jump Location
Fig. 4

ADM approximate solution when α = 1.98

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