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Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates

Author

Listed:
  • Seyedi, S.H.
  • Saray, B.N.
  • Nobari, M.R.H.

Abstract

In this paper, natural convection of non-Newtonian fluid flow between two infinite parallel vertical plates is studied using interpolation scaling functions based on the Galerkin method. To do so, the governing equations are reduced to a set of ordinary differential equations considering both pure and nano-fluid flow. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. This new proposed method has the capability of multi-resolution solution with a higher accuracy comparing with other similar methods.

Suggested Citation

  • Seyedi, S.H. & Saray, B.N. & Nobari, M.R.H., 2015. "Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 488-496.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:488-496
    DOI: 10.1016/j.amc.2015.07.099
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    Cited by:

    1. Seyedi, S. Hadi & Saray, Behzad Nemati & Chamkha, Ali J., 2020. "Heat and mass transfer investigation of MHD Eyring–Powell flow in a stretching channel with chemical reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    2. Fazlollah Soleymani & Andrey Itkin, 2019. "Pricing foreign exchange options under stochastic volatility and interest rates using an RBF--FD method," Papers 1903.00937, arXiv.org.
    3. Hoang Viet Long & Haifa Bin Jebreen & Stefania Tomasiello, 2020. "Multi-Wavelets Galerkin Method for Solving the System of Volterra Integral Equations," Mathematics, MDPI, vol. 8(8), pages 1-14, August.

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