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Solving the Boundary Layer Flow of Eyring–Powell Fluid Problem via Quasilinearization–Collocation Method Based on Hermite Functions

INAE Letters volume 3, pages 11–19 (2018)Cite this article

Abstract

In this paper, the combination of quasilinearization and collocation methods is used for solving the problem of the boundary layer flow of Eyring–Powell fluid over a stretching sheet. The proposed approach is based on Hermite function collocation method. The quasilinearization method is used for converting the non-linear Eyring–Powell problem to a sequence of linear equations and the Hermite collocation method is applied for solving linear equations at each iteration. In the end, the obtained result of the present work is compared with the obtained results in other papers.

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Authors and Affiliations

  1. Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran, Iran

    Kourosh Parand, Zahra Kalantari & Mehdi Delkhosh

  2. Department of Cognitive and Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C. Tehran, Iran

    Kourosh Parand

Authors
  1. Kourosh Parand
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  2. Zahra Kalantari
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  3. Mehdi Delkhosh
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Correspondence to Kourosh Parand.

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Parand, K., Kalantari, Z. & Delkhosh, M. Solving the Boundary Layer Flow of Eyring–Powell Fluid Problem via Quasilinearization–Collocation Method Based on Hermite Functions. INAE Lett 3, 11–19 (2018). https://doi.org/10.1007/s41403-018-0033-4

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  • DOI: https://doi.org/10.1007/s41403-018-0033-4

Keywords

  • Boundary layer flow
  • Eyring–Powell fluid
  • Quasilinearization method
  • Collocation method
  • Hermite functions

Mathematics Subject Classification

  • 76A05
  • 74S25
  • 76D05
  • 76M55
  • 34B40