Enclosing all solutions of two-point boundary value problems for ODEs

@article{Lin2008EnclosingAS,
  title={Enclosing all solutions of two-point boundary value problems for ODEs},
  author={Youdong Lin and Joshua A. Enszer and Mark A. Stadtherr},
  journal={Computers & Chemical Engineering},
  year={2008},
  volume={32},
  pages={1714-1725}
}
The two-point boundary value problem (TPBVP) occurs in a wide variety of problems in engineering and science, including the modeling of chemical reactions, heat transfer, and diffusion, and the solution of optimal control problems. A TPBVP may have no solution, a single solution, or multiple solutions. A new strategy is presented for reliably locating all solutions of a TPBVP. The method determines narrow enclosures of all solutions that occur within a specified search interval. Key features of… CONTINUE READING

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