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.
Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods
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.
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Jafari, H. (March 16, 2016). "Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods." ASME. J. Comput. Nonlinear Dynam. July 2016; 11(4): 041015. https://doi.org/10.1115/1.4032767
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