1. Solutions of the Stiff-String Model with an Iterative Method.
- Author
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Chao Min, Liu, Qing-you, Zhang, Lie-hui, and Huang, Nan-jing
- Subjects
- *
STRING theory , *ITERATIVE methods (Mathematics) , *DIFFERENTIAL equations , *FIXED point theory , *EXISTENCE theorems , *ALGORITHMS , *NUMERICAL analysis - Abstract
In this paper, Ho's stiff-string model for the drill strings is simplified into an implicit differential equation setting. By using the Banach fixed point theorem, an existence of exact solution of this model is proved under the condition ... An iterative algorithm for solving this simplified model is constructed and the convergence of the sequence generated by the algorithm is discussed. A numerical example is also given to get an accurate solution for Ho's stiff string model under some suitable assumptions. [ABSTRACT FROM AUTHOR]
- Published
- 2013