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Calcolo
Published in: Calcolo 1/2017

06-04-2016

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

Authors: Hossein Aminikhah, Javad Alavi

Published in: Calcolo | Issue 1/2017

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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.
previous article Erratum to: Quadratic mixed finite element approximations of the Monge-Ampère equation in 2D
next article Eigenvalue condition numbers and pseudospectra of Fiedler matrices

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Metadata
Title
B-spline collocation and quasi-interpolation methods for boundary layer flow and convection heat transfer over a flat plate
Authors
Hossein Aminikhah
Javad Alavi
Publication date
06-04-2016
Publisher
Springer Milan
Published in
Calcolo / Issue 1/2017
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-016-0188-x

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