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Analytical Solution for Fractional Gas Dynamics Equation

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Abstract

A new hybrid method based on fractional order shifted Legendre polynomials is constructed in the present study to obtain the analytical solution of a fractional gas dynamics equation. The theoretical analysis such as convergence analysis and error bound for the proposed technique have been demonstrated. The illustrated examples are shown to test the ability and accuracy of the proposed method.

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Acknowledgements

The authors also wish to thank Department of Science and Technology, Government of India for the financial sanction towards this work under FIST Programme SR\(\backslash \) FST\(\backslash \) MSI - 107 \(\backslash \) 2015.

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Authors and Affiliations

  1. Department of Mathematics, School of Humanities and Sciences, SASTRA Deemed to be University, Thanjavur, Tamilnadu, 613401, India

    S. Raja Balachandar, K. Krishnaveni, K. Kannan & S. G. Venkatesh

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  1. S. Raja Balachandar
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  2. K. Krishnaveni
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  3. K. Kannan
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  4. S. G. Venkatesh
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Correspondence to K. Krishnaveni.

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Raja Balachandar, S., Krishnaveni, K., Kannan, K. et al. Analytical Solution for Fractional Gas Dynamics Equation. Natl. Acad. Sci. Lett. 42, 51–57 (2019). https://doi.org/10.1007/s40009-018-0662-x

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  • DOI: https://doi.org/10.1007/s40009-018-0662-x

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