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Homotopy analysis Sumudu transform method for time—fractional third order dispersive partial differential equation

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Abstract

In this article, we apply the newly introduced numerical method which is a combination of Sumudu transforms and Homotopy analysis method for the solution of time fractional third order dispersive type PDE equations. It is also discussed generalized algorithm, absolute convergence and analytic result of the finite number of independent variables including time variable.

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Authors and Affiliations

  1. Department of Mathematics, Jaypee University of Engineering and Technology, Guna, 473226, MP, India

    Rishi Kumar Pandey & Hradyesh Kumar Mishra

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  1. Rishi Kumar Pandey
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  2. Hradyesh Kumar Mishra
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Correspondence to Hradyesh Kumar Mishra.

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Communicated by: Helge Holden

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Pandey, R.K., Mishra, H.K. Homotopy analysis Sumudu transform method for time—fractional third order dispersive partial differential equation. Adv Comput Math 43, 365–383 (2017). https://doi.org/10.1007/s10444-016-9489-5

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  • DOI: https://doi.org/10.1007/s10444-016-9489-5

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