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Original Articles

A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

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Pages 1261-1273 | Received 07 Sep 2004, Published online: 19 Aug 2006

References

  • Keller , H. B. 1968 . Numerical Methods for Two-Point Boundary Value Problems , New York : Blaisdell .
  • Jain , M. K. , Iyengar , S. R.K. and Subramanyam , G. S. 1984 . Variable-mesh methods for the numerical solution of two point singular perturbation problems . Computer Methods in Applied Mechanics and Engineering , 42 : 273 – 286 .
  • Chawla , M. M. 1978 . A fourth order tridiagonal finite difference method for general two-point boundary value problems with mixed boundary conditions . Journal of the Institute of Mathematical Applications , 21 : 83 – 93 .
  • Evans , D. J. 1985 . Group explicit method for solving large linear systems . International Journal of Computer Mathematics , 17 : 81 – 108 .
  • Evans , D. J. 1999 . Iterative methods for solving non-linear two point boundary value problems . International Journal of Computer Mathematics , 72 : 395 – 401 .
  • Mohanty , R. K. , Sachdev , P. L. and Jha , N. 2003 . TAGE method for non-linear singular two point boundary value problem using a fourth order difference scheme . Neural, Parallel and Scientific Computations , 11 : 281 – 296 .
  • Young , D. M. 1971 . Iterative Solutions for Large Linear Systems , New York : Academic Press .
  • Hageman , L. A. and Young , D. M. 1981 . Applied Iterative Methods , New York : Academic Press .

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