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International Journal of Computer Mathematics Volume 78, 2001 - Issue 1
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Original Articles

Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem

R. K. Mohanty Department of Computing, The Nottingham Trent University, Burton Street, Nottingham, NGI 4BU, UK
,
D. J. Evans Department of Computing, The Nottingham Trent University, Burton Street, Nottingham, NGI 4BU, UK
&
Shivani Dey Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
Pages 123-139 | Received 21 Apr 2000, Published online: 20 Mar 2007

References

  • Chawla , M. M. 1978 . A fourth order tri-diagonal finite difference method for general non-linear two point boundary value problems with mixed boundary conditions . J. Inst. Maths. Applics. , 21 : 83 – 93 .
  • Chawla , M. M. 1979 . A Sixth Order tri-diagonal finite difference method for general non-linear two point boundary value problems . J. Inst. Math. Applics. , 24 : 35 – 42 .
  • Chawla , M. M. and Katti , C. P. 1984 . A finite difference method for a class of singular two point boundary value problem . IMA. J., Num. Anal. , 4 : 457 – 466 .
  • Chawla , M. M. , Mckee , S. and Shaw , G. 1986 . Order h 2 method for a singular two-point boundary value problem . BIT , 26 : 318 – 326 .
  • Chawla , M. M. and Subramanian , R. 1988 . A new spline method for singular two point boundary value problem . Int. J. Computer Math. , 24 : 291 – 310 .
  • Chawla , M. M , Subramanian , R. and Sathi , H. L. 1988 . A fourth order method for a singular two point boundary value problem . BIT , 28 : 88 – 97 .
  • Chawla , M. M. , Jain , M. K. and Subramanian , R. 1990 . On the numerical integration of a singular two point boundary value problem . Int. J. Computer Math. , 31 : 187 – 194 .
  • 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 . Comp. Meth. Appl. Mech. Engg. , 42 : 273 – 286 .
  • Gustafsson , B. 1973 . A numerical method for solving singular boundary value problems . Numer. Math. , 21 : 328 – 344 .
  • Iyengar , S. R. K. and Jain Pragya . 1987 . Spline finite difference methods for singular two point boundary value problems . Numer. Math. , 50 : 363 – 376 .
  • Jain , R. K. and Jain Pragya . 1989 . Finite difference methods for a class of singular two-point boundary Value problems . Int. J. Computer Math. , 27 : 113 – 120 .
  • Russel , R. D. and Shampine , L. F. 1975 . Numerical methods for singular boundary value problems . SIAM. J. Numer. Anal. , 12 : 13 – 35 .
  • Mohanty , R. K. 1996 . An O(k 2 + h 4) finite difference method for one space Burger's equation in Polar co-ordinates . Numer. Meth. Partial Diff. Eq. , 12 : 579 – 583 .
  • Stephenson , J. W. 1984 . Single cell discretization of order two and four for biharmonic problems . J. Comput. Phys. , 55 : 65 – 80 .
  • Mohanty , R. K. 2000 . A fourth-order finite difference method for the general one-dimensional non-linear biharmonic problems of first kind . J. Comp. Appl. Math. , 114 : 275 – 290 .

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