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Original Articles

Robust numerical methods for boundary‐layer equations for a model problem of flow over a symmetric curved surfaceFootnote1

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Pages 365-378 | Received 03 Mar 2006, Published online: 14 Oct 2010

References

  • Ansari , A.R. , Hegarty , A.F. and Shishkin , G.I. 2003 . A note on fitted operator methods for a laminar jet problem . Appl. Numer. Math. , 45 (4) : 353 – 365 .
  • Farrell , P.A. , Hegarty , A.F. , Miller , J.J.H. , O'Riordan , E. and Shishkin , G.I. 2000 . Robust Computational Techniques for Boundary Layers , Boca Raton : Chapman & Hall/CRC Press .
  • Hossain , B. , Ansari , A.R. and Shishkin , G.I. 2003 . On numerical methods for a boundary layer on a body of revolution . Comput. Methods Appl. Math. , 3 (3) : 405 – 416 .
  • Miller , J.J.H. , O'Riordan , E. and Shishkin , G.I. 1996 . Fitted Numerical Methods for Singular Perturbation Problems , London : World Scientific .
  • Oleinik , O.A. and Samokhin , V.N. 1999 . Mathematical Models in Boundary‐Layer Theory , Boca Raton : Chapman & Hall/CRC Press .
  • Schlichting , H. 1979 . Boundary‐Layer Theory, , 7th ed , New York : McGraw Hill .
  • Shishkin , G.I. 1983 . A difference scheme on a non‐uniform mesh for a differential equation with a small parameter in the highest derivative . U.S.S.R. Compt. Maths. Math. Physics , 23 : 59 – 66 .
  • Shishkin , G.I. 1992 . Discrete Approximations of Singular Perturbed Elliptic and Parabolic Equations , Ural Section, Ekaterinburg : Russian Academy of Sciences . (in Russian)
  • This work was supported in part by the Department of Mathematics, Gulf University for Science & Technology, by the Russian Foundation for Basic Research (grants Nos. 04–01–00578, 04–01–89007‐NWO_a), by the Dutch Research Organisation NWO (grant No. 047.016.008) and by the Department of Mathematics & Statistics, University of Limerick.

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