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Original Articles

On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems

Pages 227-238 | Received 28 May 2003, Published online: 12 May 2010

References

  • Pandeyn , 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 their convergence for a class of singular two point boundary value problems . Numer. Math. , 39 : 341 – 350 .
  • Sakai , M. and Usmani , R. A. (1988) . Non polynomial spline weakly singular two-point boundary value problems . BIT , 28 : 867 – 876 .
  • Chawla , M. M. (1987) . A fourth-order finite-difference method based on uniform mesh for singular two-point boundary-value problems . J. Comput. Appl. Math. , 17 : 359 – 364 .
  • Chawla , M. M. and Katti , C. P. (1985) . A uniform mesh finite difference method for a class of singular two-point boundary value problems . SIAM J. Numer. Anal. , 22 : 561 – 565 .
  • Chawla , M. M. and Subramanian , R. (1988) . A fourth-order spline method for singular two-point boundary-value problems . J. Comp. Appl. Math. , 21 : 189 – 202 .

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