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Original Articles

A modified version of newton's iteration

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Pages 107-113 | Received 27 Feb 1989, Accepted 19 Mar 1989, Published online: 19 Mar 2007

References

  • Bellman , R. E. and Kalaba , R. E. 1965 . Quasilinearization and Nonlinear Boundary-Value Problems , New York : American Elsevier .
  • Kantorovich , L. and Akilov , G. 1964 . Functional Analysis in Normed Spaces , Oxford : Pergamon Press . Fizmatgiz, Moscow, 1959; translated by D. Brown and A. Robertson
  • Keller , H. B. and White , A. B. Jr . 1975 . Difference methods for boundary-value problems in ordinary differential equations . SIAM J. Numer. Anal. , 12 : 791 – 802 .
  • Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York : Academic Press .
  • Petrovskii , I. G. 1966 . Ordinary Differential Equations , Englewood Cliffs, NJ : Prentice Hall . Rev. Eng. Ed.
  • Rall , L. B. 1969 . Computational Solution of Nonlinear Operator Equations , New York : John Wiley and Sons .
  • Singh , A. and Kadalbajoo , M. K. 1989 . A numerical method for solving singularly perturbed systems of 8non-linear two-point boundary-value problems . Intern. J. Computer Math. , 30 : 117 – 127 .

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