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Two-Dimensional Differential Transform Method and Modified Differential Transform Method for Solving Nonlinear Fractional Klein–Gordon Equation

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Abstract

In this paper, two-dimensional differential transform method and modified differential transform method applied successfully for finding the approximate analytical solution of the nonlinear fractional Klein–Gordon equation. The plotted graph illustrates the behavior of the solution for different values of fractional order α. Three test examples are given to demonstrate the ability of both the methods for solving fractional nonlinear equation.

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Authors and Affiliations

  1. Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore, 632 014, India

    K. Aruna

  2. Department of Mathematics, NIT Kurukshetra, Kurukshetra, 136 119, Haryana, India

    A. S. V. Ravi Kanth

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  1. K. Aruna
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  2. A. S. V. Ravi Kanth
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Correspondence to K. Aruna.

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Aruna, K., Ravi Kanth, A.S.V. Two-Dimensional Differential Transform Method and Modified Differential Transform Method for Solving Nonlinear Fractional Klein–Gordon Equation. Natl. Acad. Sci. Lett. 37, 163–171 (2014). https://doi.org/10.1007/s40009-013-0209-0

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  • DOI: https://doi.org/10.1007/s40009-013-0209-0

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