Method of isomonodromic deformations for “degenerate” third Painlevé equation
✍ Scribed by A. V. Kitaev
- Publisher
- Springer US
- Year
- 1989
- Tongue
- English
- Weight
- 474 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1573-8795
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## Abstract This work considers the methods for solving approximately the four types of boundary equations arising when the third initial boundary value problem of the theory of elasticity is solved with the help of retarded elastic potentials. The convergence of these methods is proved.
procedure towards solution of two-point nonlinear boundary value problems for single equation of second order is described. For the correction of missing conditions two algorithms of 3rd order convergence are suggested and, in addition, a comparison with Newton root-finding method is presented. The