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International Journal of Computer Mathematics Volume 51, 1994 - Issue 1-2
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Original Articles

On the shooting method for a class of two-point singular nonlinear boundary value problems

M. B. M. Elgindi Department of Mathematics, University of Wisconsin-Eau Claire, Eau Claire, 54702-4004, Wisconsin
&
R. W. Langer Department of Mathematics, University of Wisconsin-Eau Claire, Eau Claire, 54702-4004, Wisconsin
Pages 107-118 | Received 24 Jun 1993, Published online: 19 Mar 2007

References

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  • Chawla , M. M. and Subramanian , R. 1988 . A fourth-order spline method for singular two-point boundary value problems . Inter. Ser. Numer. Math. , 86 : 87 – 93 .
  • Chawla , M. M. and Subramanian , R. 1988 . A fourth-order spline method for singular two-point boundary value problems . J. Comp. Appl. Math. , 21 ( No. 2 ) : 189 – 202 .
  • Chawla , M M. , Subramanian , R. and Sathi , H. L. 1988 . A fourth-order method for a class of singular two-point boundary value problems . BIT , 28 : 88 – 97 .
  • El-Gebeily , M. A. , Boumenir , A. and Elgindi , M. B. M. Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems . J. Comp, Appl. Math. , to appear
  • Elgindi , M. B. M. and Langer , R. W. An initial value problem method for a class of two-point weakly singular nonlinear boundary value problems , in preparation
  • de Hoog , Frank and Weiss , R. 1985 . The application of Runge-Kutta schemes to singular initial value problems . Math. Comp. , 44 : 93 – 103 .
  • Jain , R. K. and Jain , Pragya . 1986 . Explicit direct methods for a class of singular two-point boundary value problems . J, Math. Phy, Sci , 23 ( No. 5 ) : 411 – 423 .
  • Kadalbajoo , Mohan K. and Raman , K. S. 1984 . Numerical solution of singular boundary value problems by invariant imbedding . J. Comp, Phy. , 55 ( No. 5 ) : 268 – 277 .
  • Katti , C. P. 1989 . A new fourth-order finite difference method for a class of singular two-point boundary value problems . Appl. Numer. Math. , 5 : 451 – 457 .
  • Russell , R. D. and Shampine , L. F. 1975 . Numerical mehtods for singular boundary value problems . SIAM J. Numer. Anal. , 12 : 13 – 36 .
  • Schreiber , Robert . 1980 . Finite element methods of high-order accuracy for singular two-point boundary value problems with nonsmooth solution . SI AM J. Numer, Anal , 17 ( No. 4 ) : 547 – 566 .

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