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Application of the Homotopy Perturbation Method to Micropolar Flow in a Porous Channel

巻 12, 発行 5, 2009, pp. 451-459
DOI: 10.1615/JPorMedia.v12.i5.50
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要約

In this article, the problem of two-dimensional flow of a micropolar fluid in a porous channel is presented, and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the numerical solution and the results of the HPM. The results reveal that this method is very effective and simple and can be applied to other nonlinear problems.

によって引用された
  1. Esmaeilpour M., Roshan Naeem, Roshan Negar, Ganji D. D., Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel, International Journal of Mathematics and Mathematical Sciences, 2011, 2011. Crossref

  2. Esmaeilpour M., Ganji D.D., Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method, Computers & Mathematics with Applications, 59, 11, 2010. Crossref

  3. Bougoffa Lazhar, Mziou Samy, Rach Randolph C., EXACT AND APPROXIMATE ANALYTIC SOLUTIONS OF THE JEFFERY-HAMEL FLOW PROBLEM BY THE DUAN-RACH MODIFIED ADOMIAN DECOMPOSITION METHOD, Mathematical Modelling and Analysis, 21, 2, 2016. Crossref

  4. Akbari M.R., Nimafar M., Ganji D.D., Karimi Chalmiani H., Investigation on non-linear vibration in arched beam for bridges construction via AGM method, Applied Mathematics and Computation, 298, 2017. Crossref

  5. Nabati M., Jalalvand M., Taherifar S., Sinc collocation approach through thermal analysis of porous fin with magnetic field, Journal of Thermal Analysis and Calorimetry, 144, 6, 2021. Crossref

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