Abstract
An unusual boundary-value problem that arises in a fluid-mechanical application is solved to high precision, as a challenge problem in scientific computation. A second-order differential equation must be solved on (0,∞ ), subject to boundary conditions that specify only the asymptotic behaviour of the solution at the two ends of the solution domain. In addition, the solution is required to high accuracy to settle a conjecture made by previous authors. The solution is obtained by computing multiple series solutions using Maple.
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O’Neill, M.E., Stewartson, K.: On the slow motion of a sphere parallel to a nearby plane wall. J. Fluid Mech. 27, 705–724 (1967)
Pratibha: Maple tools for hydrodynamic interaction problems, PhD Thesis, The University of Western Ontario, London, Canada (1995)
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© 2005 Springer-Verlag Berlin Heidelberg
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Pratibha, Jeffrey, D.J. (2005). Stokes-Flow Problem Solved Using Maple. In: Sunderam, V.S., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2005. ICCS 2005. Lecture Notes in Computer Science, vol 3516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11428862_91
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DOI: https://doi.org/10.1007/11428862_91
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26044-8
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