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International Journal of Computer Mathematics Volume 82, 2005 - Issue 9
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Original Articles

An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems

R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, IndiaCorrespondence[email protected]
,
D. J. Evans Department of Computer Science, Loughborough University, Loughborough, Leics, LE11 3TU, UK
&
Noopur Khosla Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
Pages 1125-1139 | Received 01 Nov 2004, Published online: 19 Aug 2006

References

  • Albasiny , E. L. and Hoskins , W. D. 1972 . Increased accuracy cubic spline solutions to two point boundary value problems . Journal of the Institute of Mathematical Applications , 9 : 47 – 55 .
  • Jain , M. K. and Aziz , T. 1983 . Cubic spline solution of two point boundary value problems with significant finite derivatives . Computational Methods in Applied Mechanical Engineering , 39 : 83 – 91 .
  • 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 .
  • Evans , D. J. and Mohanty , R. K. 2002 . Alternating group explicit method for the numerical solution of non-linear singular two point boundary value problems using a fourth order finite difference method . International Journal of Computer Mathematics , 79 : 1121 – 1131 .
  • Mohanty , R. K. , Sachdev , P. L. and Navnit , J. 2004 . An O(h 4) accurate cubic spline TAGE method for non-linear singular two point boundary value problem . Applied Mathematics and Computations , 158 : 853 – 868 .
  • 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 . Computational Methods in Applied Mechanical Engineering , 42 : 273 – 286 .
  • Keller , H. B. 1968 . Numerical Methods for Two-point Boundary Value Problems , New York : Blaisdell .
  • Evans , D. J. 1985 . Group explicit methods 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 .
  • Hageman , L. A. and Young , D. M. 1981 . Applied Iterative Methods , New York : Academic Press .

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