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• W2913274910 abstract "Novel sequences of approximants to solutions of Painleve II on finite intervals of the real line, with Neumann boundary conditions, are constructed. Numerical experiments strongly suggest convergence of these sequences in a surprisingly wide range of cases, even ones where ordinary perturbation series fail to converge. These sequences are here labeled extraordinary because of their unusual properties. Each element of such a sequence is defined on its own interval. As the sequence (apparently) converges to a solution of the corresponding boundary value problem (BVP) for Painleve II, these intervals themselves (apparently) converge to the defining interval for that problem, and an associated sequence of constants (apparently) converges to the constant term in the Painleve II equation itself. Each extraordinary sequence is constructed in a nonlinear fashion from a perturbation series approximation to the solution of a supplementary BVP, involving a generalization of Painleve II that arises in studies of electrodiffusion." @default.
• W2913274910 created "2019-02-21" @default.
• W2913274910 creator A5065496177 @default.
• W2913274910 date "2019-01-31" @default.
• W2913274910 modified "2023-09-26" @default.
• W2913274910 title "Solutions of Painlevé II on Real Intervals: Novel Approximating Sequences" @default.
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• W2913274910 doi "https://doi.org/10.1080/10586458.2018.1507852" @default.
• W2913274910 hasPublicationYear "2019" @default.
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