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Original Articles

A numerical method for solving singularly perturbed systems of nonlinear two-point boundary-value problems

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Pages 117-127 | Received 17 May 1988, Accepted 24 Jan 1989, Published online: 19 Mar 2007

References

  • Aiken , R.C. and Lapidus , L. 1975 . Problem approximation for stiff ordinary differential equations . AICHE J , 21 : 627
  • Ardema , M.D. 1983 . “ An introduction to singular perturbations in nonlinear optimal control ” . In In: Singular Perturbations in Systems and Control , CISM . Courses and Lectures No.280
  • Keller , H.B. 1968 . Numerical Methods for Two-Point Boundary-Value Problems , Blaisdell .
  • Kevorkian , J. and Cole , J.D. 1981 . Perturbation Methods in Applied Mathematics , Springer Verlag .
  • Kreiss , H.O. , Nichols , N.K. and Brown , D.L. 1986 . Numerical methods for stiff two-point boundary-value problems . SIAM. J. Numer. Anal , 23 : 325
  • Nayfeh , A.H. 1981 . Introduction to Perturbation Techniques , Wiley .
  • O'Malley , R.E. Jr . 1974 . Introduction to Singular Perturbations , Academic Press .
  • Ortega , J.M. and Rheinboldt , W.C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , Academic Press .

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