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Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012 pp 287–294Cite as

A Novel Approach for Thin Film Flow Problem Via Homotopy Analysis Sumudu Transform Method

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 236))

Abstract

In this paper, a numerical algorithm based on new homotopy analysis sumudu transform method (HASTM) is proposed to solve a nonlinear boundary value problem arising in the study of thin flow of a third-grade fluid down an inclined plane. The homotopy analysis sumudu transform is a combined form of sumudu transform and homotopy analysis method. The proposed technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The numerical results show that the proposed approach is very efficient and simple and can be applied to other nonlinear problems.

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Author information

Authors and Affiliations

  1. Department of Physics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur, Rajasthan, 303901, India

    Sushila

  2. Pro-Vice-Chancellor, Jagan Nath University, Village- Rampura, Tehsil-Chaksu, Jaipur, Rajasthan, 303901, India

    Y. S. Shishodia

Authors
  1. Sushila
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  2. Y. S. Shishodia
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Corresponding author

Correspondence to Sushila .

Editor information

Editors and Affiliations

  1. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    B. V. Babu

  2. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  5. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  6. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Kanad Ray

  7. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Umesh Gupta

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Sushila, Shishodia, Y. (2014). A Novel Approach for Thin Film Flow Problem Via Homotopy Analysis Sumudu Transform Method. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_32

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  • DOI: https://doi.org/10.1007/978-81-322-1602-5_32

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1601-8

  • Online ISBN: 978-81-322-1602-5

  • eBook Packages: EngineeringEngineering (R0)

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