False convergence in the nonlinear shooting method

Prentice, J.S.C.

J. Math. Comput. Sci. 5 (2015), 454–461

False convergence in the nonlinear shooting method

J.S.C. Prentice

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Abstract

We study the concept of false convergence in the nonlinear shooting method for boundary-value problems. We show that false convergence is due to the global error that exists in the Runge-Kutta solution to the associated initial-value problem. We show how the situation can be remedied through the device of global error control in the Runge-Kutta method. We suggest the use of the RKQ algorithm for this purpose.

Published: 7 July 2015
Volume: 5 (2015)
License: CC BY 3.0

Copyright © 2015 J.S.C. Prentice. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

J. S. C. Prentice, False convergence in the nonlinear shooting method, J. Math. Comput. Sci. 5 (2015), 454–461.

BibTeX

@article{Prentice2015,
  author  = {Prentice, J.S.C.},
  title   = {False convergence in the nonlinear shooting method},
  journal = {J. Math. Comput. Sci.},
  volume  = {5},
  year    = {2015},
  pages   = {454--461},
  doi     = {}
}