A posteriori error bounds for the back-and-forth shooting method
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 9 (1-2) , 1-18
- https://doi.org/10.1080/01630568708816223
Abstract
This paper considers techniques for obtaining strict error bounds to the back-and-forth shooting method for two-point boundary-value problems. Special attention is paid to the practical computation of certain constants, from which the existence of a true solution in the vicinity of the computed one may be concluded. These techniques can be used in proving the existence of solutions, as is shown in an example.Keywords
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