111
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Numerical methods and error estimates for a singular boundary‐value problem

&
Pages 271-284 | Received 09 Sep 2002, Published online: 14 Oct 2010

References

  • Brezinski , C. and Zaglia , M.R. 1991 . Extrapolation Methods, Theory and Practice North‐Holland, Amsterdam
  • Dyshko , A.L. , Carpentier , M.P. , Konyukhova , N.B. and Lima , P.M. 2001 . Singular problems for Emden‐Fowler type second‐order nonlinear differential equations . Comput. Maths. Math. Phys. , 41 : 557 – 580 .
  • Lima , P.M. 1996 . Numerical methods and asymptotic error expansions for the Emden‐Fowler equations . J. of Comp. and Applied Mathematics , 70 : 245 – 266 .
  • Lima , P.M. and Carpentier , M.P. 1999 . Asymptotic expansions and numerical approximation of nonlinear degenerate boundary‐value problems . Appl. Num. Math. , 30 : 93 – 111 .
  • Lima , P.M. and Carpentier , M.P. 1999 . Iterative methods for a singular boundary‐value problem . J. of Comp. and Applied Mathematics , 111 : 173 – 186 .
  • Lima , P.M. and Carpentier , M.P. 2000 . Numerical solution of a singular boundary‐value problem in non‐Newtonian fluid mechanics . Comp. Phys. Comm. , 126 : 114 – 120 .
  • Lima , P.M. and Oliveira , A.M. Numerical methods for a singular boundary‐value problem for a generalized Emden‐Fowler equation . Applied Numerical Mathematics , (to appear)
  • Lima , P.M. and Oliveira , A.M. Aproximação de problemas de valores de fronteira singulares usando subsoluções e supersoluções . Tendências da Matemática Aplicadae Computacional (actas da XXII Conferência Nacional de Matemdtica Aplicada e Computacional . volume 1 , pp. 401 – 414 . (2), (in Portuguese)
  • Mooney , J.W. 1979 . A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations . Nonlinear Analysis , 3 : 449 – 465 .
  • Mooney , J.W. 1993 . Numerical schemes for degenerate boundary‐value problems . J. Phys. A , 26 : L413 – L421 .
  • Mooney , J.W. 1993 . Solution of a Thomas‐Fermi problem using linear approximants . Cornput. Phys. Comm. , 76 : 51 – 57 .
  • Tineo , A. 1995 . A comparison theorem for second order odes and applications to singular problems . Journal of Differential Equations , 16 : 16 – 30 .

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.