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International Journal of Computer Mathematics Volume 83, 2006 - Issue 11
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Original Articles

A new high-accuracy difference method for a class of weakly nonlinear singular boundary-value problems

R. K. Pandey Department of Mathematics, IIT, Kharagpur, 721302, IndiaCorrespondence[email protected]
&
Arvind K. Singh Department of Mathematics, IIT, Kharagpur, 721302, India
Pages 809-817 | Received 01 Aug 2005, Accepted 30 Oct 2006, Published online: 15 Jan 2007

References

  • Pandey , R. K. 1996 . On a class of weakly regular singular two point boundary value problems–I . Nonlinear Analysis, Theory, Methods & Applications , 27 : 1 – 12 .
  • Chawla , M. M. and Katti , C. P. 1982 . Finite difference methods and their convergence for a class of singular two point boundary-value problems . Numerische Mathematik , 39 : 341 – 350 .
  • Chawla , M. M. 1987 . A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems . Journal of Computational and Applied Mathematics , 17 : 359 – 364 .
  • Chawla , M. M. , Subramanian , R. and Sathi , H. L. 1988 . A fourth-order spline method for singular two-point boundary-value problems . Journal of Computational and Applied Mathematics , 21 : 189 – 202 .
  • Ciarlet , P. G. , Natterer , F. and Varga , R. S. 1970 . Numerical methods of high-order accuracy for singular non-linear boundary value problems . Numerische Mathematik , 15 : 87 – 99 .
  • Gustafsson , B. 1973 . A numerical method for solving singular boundary value problems . Numerische Mathematik , 21 : 328 – 344 .
  • Jamet , P. 1970 . On the convergence of finite difference approximation to one-dimensional singular boundary value problems . Numerische Mathematik , 14 : 355 – 378 .
  • Pandey , R. K. and Singh , A. K. 2004 . On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology . Journal of Computational and Applied Mathematics , 166 : 553 – 564 .
  • Sakai , M. and Usmani , R. A. 1988 . Non polynomial spline and weakly singular two-point boundary value problems . BIT Numerical Mathematics , 28 : 867 – 876 .
  • Sakai , M. and Usmani , R. A. 1990 . An application of Chawla’s identity to a different scheme for singular problems . BIT Numerical Mathematics , 30 : 566 – 568 .

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