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Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method

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Abstract

This paper concerns the approximate solutions of non-linear fractional Schrodinger equation via two-dimensional differential transform method and modified differential transform method. The plotted graph illustrates the behavior of the solution for different values of fractional order α. The effectiveness and accuracy of the proposed methods are examined by means of three numerical experiments.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their valuable comments and helpful suggestions which have improved the manuscript.

Conflict of interest

The authors declare that there is no conflict of interest.

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Authors and Affiliations

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

    K. Aruna & 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. Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method. Natl. Acad. Sci. Lett. 36, 201–213 (2013). https://doi.org/10.1007/s40009-013-0119-1

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  • DOI: https://doi.org/10.1007/s40009-013-0119-1

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