BIT Numerical Mathematics

, Volume 51, Issue 2, pp 317–337 | Cite as

Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems

  • E. O’Riordan
  • J. Quinn


Both linear and nonlinear singularly perturbed two point boundary value problems are examined in this paper. In both cases, the problems have a boundary turning point and are of convection-diffusion type. Parameter-uniform numerical methods composed of monotone finite difference operators and piecewise-uniform Shishkin meshes, are constructed and analyzed for both the linear and the nonlinear class of problems. Numerical results are presented to illustrate the theoretical parameter-uniform error bounds established.


Singular perturbation Shishkin mesh Nonlinear Boundary turning point 

Mathematics Subject Classification (2000)

65L11 65L20 65L12 


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Copyright information

© Springer Science + Business Media B.V. 2010

Authors and Affiliations

  1. 1.School of Mathematical SciencesDublin City UniversityGlasnevin, Dublin 9Ireland

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