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Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems

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Abstract

In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis of the proposed scheme is also discussed. To test the validity, potentiality, and practical usefulness of the proposed method in solving such a complicated equation, several numerical examples with various initial conditions are considered. The analysis of the obtained approximate solution results reveal that the proposed method is a significant addition for exploring nonlinear fractional models in fractional theory and its computations.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Hira Tariq & Ghazala Akram

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  1. Hira Tariq
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  2. Ghazala Akram
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Correspondence to Ghazala Akram.

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Tariq, H., Akram, G. Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems. J. Appl. Math. Comput. 55, 683–708 (2017). https://doi.org/10.1007/s12190-016-1056-1

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  • DOI: https://doi.org/10.1007/s12190-016-1056-1

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