Stokes-Flow Problem Solved Using Maple

  • Pratibha
  • D. J. Jeffrey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3516)

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.

References

  1. 1.
    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)MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Pratibha: Maple tools for hydrodynamic interaction problems, PhD Thesis, The University of Western Ontario, London, Canada (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Pratibha
    • 1
    • 2
  • D. J. Jeffrey
    • 2
  1. 1.Information Technology Development Agency (ITDA), Government of UttaranchalDehradunIndia
  2. 2.Department of Applied MathematicsThe University of Western OntarioLondonCanada

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