160
Views
7
CrossRef citations to date
0
Altmetric
Section B

Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme

&
Pages 1355-1365 | Received 28 Mar 2007, Accepted 30 Nov 2007, Published online: 17 Jun 2009

References

  • Cen , Z. 2005 . A hybrid difference scheme for a singularly perturbed convection–diffusion problem with discontinuous convection coefficient . Appl. Math. Comput. , 169 : 689 – 699 .
  • Dunne , R. K. and O'Riordan , E. 2006 . Interior layers arising in linear singularly perturbed differential equations with discontinuous coefficients , DCU Maths. Dept. Preprint Series . MS-06-09
  • Farrell , P. A. 2000 . Robust Computational Techniques for Boundary Layers , Boca Raton : Chapman Hall/CRC .
  • Farrell , P. A. 2004 . Global maximum norm parameter-uniform numerical method for a singularly perturbed convection–diffusion problem with discontinuous convection coefficient . Math. Comput. Modelling , 40 : 1375 – 1392 .
  • Farrell , P. A. 2004 . Singularly perturbed convection- diffusion problem with boundary and weak interior layers . J. Comput. Appl. Math. , 166 : 133 – 151 .
  • Kopteva , N. and Stynes , M. 2001 . Approximation of derivatives in a convection-diffusion two-point bondary value problem . Appl. Numer. Math. , 39 : 47 – 60 .
  • R. Mythili Priyadharshini and N. Ramanujam, Approximation of derivative for a singularly perturbed second-order ordinary differential equation of Robin type with discontinuous convection coefficient and source term, personal communication, 2007
  • R. Mythili Priyadharshini and N. Ramanujam, Approximation of derivative for a singularly perturbed second-order ordinary differential equation of Robin type with discontinuous convection coefficient and source term, personal communication, Approximation of derivative to a singularly perturbed reaction-convection-diffusion problem with two parameters, personal communication, 2007
  • Shanthi , V. and Ramanujam , N. 2006 . Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations with a weak interior layer . Appl. Math. Comput. , 172 : 252 – 266 .
  • Stynes , M. and O'Riordan , E. 1989 . Uniformly convergent difference schemes for singularly perturbed parabolic diffusion–convection problems without turning points . Numer. Math. , 55 : 521 – 544 .
  • Valanarasu , T. and Ramanujam , N. 2007 . An asymptotic initial value method for second order singularly perturbation problems of convection-diffusion type with a discontinuous source term . J. Appl. Math. Comput. , 23 : 141 – 152 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.