## Direct application of Padé approximant for solving nonlinear differential equations

- Héctor Vázquez-Leal, Brahim Benhammouda, +6 authors Mario Gonzalez-Lee
- SpringerPlus
- 2014

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@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} }

- Published 2008 in Computers & Chemical Engineering
DOI:10.1016/j.compchemeng.2007.08.013

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