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Singularly perturbed boundary value problems for nonlinear systems, including a challenging problem for a nonlinear beam

Part I: Theory of Singular Perturbations

Part of the Lecture Notes in Mathematics book series (LNM,volume 942)

Keywords

  • Asymptotic Solution
  • Outer Solution
  • Simple Support
  • Nonlinear Beam
  • Layer Correction

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References

  1. U. Ascher, I. Christiansen, and R. D. Russell, “Collocation software for boundary value ODE's,” ACM Trans. Math. Software 7 (1981), 209–222.

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  4. J. E. Flaherty and R. E. O'Malley, Jr., “Numerical methods for stiff systems of two-point boundary value problems,” to appear.

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© 1982 Springer-Verlag

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Flaherty, J.E., O'Malley, R.E. (1982). Singularly perturbed boundary value problems for nonlinear systems, including a challenging problem for a nonlinear beam. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094747

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  • DOI: https://doi.org/10.1007/BFb0094747

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

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