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B-spline collocation and quasi-interpolation methods for boundary layer flow and convection heat transfer over a flat plate

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Abstract

The B-spline collocation methods and a new ODEs solver based on B-spline quasi-interpolation are developed to study the problem of forced convection over a horizontal flat plate, numerically. The problem is a system of nonlinear ordinary differential equations which arises in boundary layer flow. A more accurate value of \(\sigma =f^{\prime \prime }(0)\) obtained by applying quartic B-spline collocation method and utilized to solve the system of ODE. The results are shown to be precise as compared to the corresponding results obtained by Howarth.

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Acknowledgments

We are very grateful to anonymous referees for their careful reading and valuable comments which led to the improvement of this paper.

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  1. Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, 41938, Iran

    Hossein Aminikhah & Javad Alavi

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  1. Hossein Aminikhah
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  2. Javad Alavi
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Correspondence to Hossein Aminikhah.

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Aminikhah, H., Alavi, J. B-spline collocation and quasi-interpolation methods for boundary layer flow and convection heat transfer over a flat plate. Calcolo 54, 299–317 (2017). https://doi.org/10.1007/s10092-016-0188-x

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  • DOI: https://doi.org/10.1007/s10092-016-0188-x

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