29
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

The iterated defect correction methods for singular two-point boundary value problems

&
Pages 331-349 | Received 19 Mar 1997, Published online: 19 Mar 2007

References

  • Brabston , D. C. and Keller , H. B. 1977 . A numerical method for singular two point boundary value problems . Siam J. Numer. Anal. , 14 : 779 – 791 .
  • Chawla , M. M. and Katti , C. P. 1982 . Finite difference methods and their convergence for a class of singular two point boundary value problems . Numer. Math. , 39 : 341 – 350 .
  • Ciarlet , P. G. , Natterer , F. and Varga , R. S. 1970 . Numerical methods of higher order accuracy for singular nonlinear boundary value problems . Numer. Math. , 15 : 87 – 99 .
  • Frank , R. 1977 . The method of iterated defect-correction and its application to two-point boundary value problems, Part II . Numer. Math. , 27 : 407 – 420 .
  • Gustafsson , B. 1973 . A numerical method for solving singular boundary value problems . Numer. Math. , 21 : 328 – 344 .
  • Han , G. Q. 1993 . Spline finite difference methods and their extrapolation for singular two-point boundary value problems . J. Comput. Math. , 11 : 289 – 296 .
  • Hildebrand , F. B. 1974 . Introduction of Numerical Analysis , Mc Graw-Hill .
  • Jamet , P. 1970 . On the convergence of finite difference approximations to one-dimensional singular boundary value problems . Numer. Math. , 14 : 355 – 378 .
  • Karasözen , B. and Somali , S. 1996 . An error analysis of iterated defect correction methods for linear differential-algebraic equations . Intern. J. Computer Math. , 60 : 121 – 137 .
  • Keller , H. B. and White , A. B. 1975 . Difference methods for boundary value problems in ordinary differential equations . Siam J. Numer. Anal. , 12 : 791 – 802 .
  • Reddien , C. V. and Schumaker , L. L. 1976 . On a collacation method for singular two boundary value problems . Numer. Math. , 25 : 427 – 432 .
  • Reddien , G. W. 1973 . Projection methods and singular two point boundary value problems . Numer. Math. , 21 : 193 – 205 .
  • Twizell , E. H. 1987 . One-, two- and three-grid extrapolation methods for a class of singular two-point boundary value problems . Communications in Applied Numerical Methods , 3 : 195 – 199 .
  • Zadunaisky , P. E. 1976 . On the estimation of errors propagated in the numerical integration of ordinary differential equations . Numer. Math. , 27 : 21 – 39 .

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.