Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103285165> ?p ?o ?g. }
- W3103285165 endingPage "035202" @default.
- W3103285165 startingPage "035202" @default.
- W3103285165 abstract "A perturbation series solution is constructed in terms of Airy functions for a nonlinear two-point boundary-value problem arising in an established model of steady electrodiffusion in one dimension, for two ionic species carrying equal and opposite charges. The solution includes a formal determination of the associated electric field, which is known to satisfy a form of the Painlev'e II differential equation. Comparisons with the numerical solution of the boundary-value problem show excellent agreement following termination of the series after a sufficient number of terms, for a much wider range of values of the parameters in the model than suggested by previously presented analysis, or admitted by previously presented approximation schemes. These surprising results suggest that for a wide variety of cases, a convergent series expansion is obtained in terms of Airy functions for the Painlev'e transcendent describing the electric field. A suitable weighting of error measures for the approximations to the field and its first derivative provides a monotonically decreasing overall measure of the error in a subset of these cases. It is conjectured that the series does converge for this subset." @default.
- W3103285165 created "2020-11-23" @default.
- W3103285165 creator A5043943929 @default.
- W3103285165 creator A5065496177 @default.
- W3103285165 date "2017-12-13" @default.
- W3103285165 modified "2023-09-27" @default.
- W3103285165 title "Series solution of Painlevé II in electrodiffusion: conjectured convergence" @default.
- W3103285165 cites W1588193746 @default.
- W3103285165 cites W1664224089 @default.
- W3103285165 cites W1963777795 @default.
- W3103285165 cites W1972619854 @default.
- W3103285165 cites W1975219250 @default.
- W3103285165 cites W1981755583 @default.
- W3103285165 cites W1985940938 @default.
- W3103285165 cites W1986497830 @default.
- W3103285165 cites W2012914457 @default.
- W3103285165 cites W2013212136 @default.
- W3103285165 cites W2020522364 @default.
- W3103285165 cites W2029200466 @default.
- W3103285165 cites W2032912608 @default.
- W3103285165 cites W2033142431 @default.
- W3103285165 cites W2033681908 @default.
- W3103285165 cites W2036259184 @default.
- W3103285165 cites W2042902514 @default.
- W3103285165 cites W2055359811 @default.
- W3103285165 cites W2061325723 @default.
- W3103285165 cites W2069154027 @default.
- W3103285165 cites W2072150453 @default.
- W3103285165 cites W2076272920 @default.
- W3103285165 cites W2080683205 @default.
- W3103285165 cites W2083131131 @default.
- W3103285165 cites W2146312130 @default.
- W3103285165 cites W2147142035 @default.
- W3103285165 cites W2151558734 @default.
- W3103285165 cites W2152880081 @default.
- W3103285165 cites W2155330665 @default.
- W3103285165 cites W2314455965 @default.
- W3103285165 cites W2523709423 @default.
- W3103285165 cites W2582165667 @default.
- W3103285165 cites W3099467567 @default.
- W3103285165 cites W3101126141 @default.
- W3103285165 cites W3124193524 @default.
- W3103285165 cites W3124401239 @default.
- W3103285165 cites W4253993470 @default.
- W3103285165 cites W581938152 @default.
- W3103285165 cites W58750289 @default.
- W3103285165 doi "https://doi.org/10.1088/1751-8121/aa9bb0" @default.
- W3103285165 hasPublicationYear "2017" @default.
- W3103285165 type Work @default.
- W3103285165 sameAs 3103285165 @default.
- W3103285165 citedByCount "3" @default.
- W3103285165 countsByYear W31032851652018 @default.
- W3103285165 countsByYear W31032851652019 @default.
- W3103285165 countsByYear W31032851652020 @default.
- W3103285165 crossrefType "journal-article" @default.
- W3103285165 hasAuthorship W3103285165A5043943929 @default.
- W3103285165 hasAuthorship W3103285165A5065496177 @default.
- W3103285165 hasBestOaLocation W31032851652 @default.
- W3103285165 hasConcept C1115519 @default.
- W3103285165 hasConcept C121332964 @default.
- W3103285165 hasConcept C134306372 @default.
- W3103285165 hasConcept C140901224 @default.
- W3103285165 hasConcept C143724316 @default.
- W3103285165 hasConcept C151730666 @default.
- W3103285165 hasConcept C158622935 @default.
- W3103285165 hasConcept C177918212 @default.
- W3103285165 hasConcept C182310444 @default.
- W3103285165 hasConcept C183115368 @default.
- W3103285165 hasConcept C186080144 @default.
- W3103285165 hasConcept C24890656 @default.
- W3103285165 hasConcept C28826006 @default.
- W3103285165 hasConcept C33923547 @default.
- W3103285165 hasConcept C60799052 @default.
- W3103285165 hasConcept C62520636 @default.
- W3103285165 hasConcept C72169020 @default.
- W3103285165 hasConcept C73905626 @default.
- W3103285165 hasConcept C86803240 @default.
- W3103285165 hasConceptScore W3103285165C1115519 @default.
- W3103285165 hasConceptScore W3103285165C121332964 @default.
- W3103285165 hasConceptScore W3103285165C134306372 @default.
- W3103285165 hasConceptScore W3103285165C140901224 @default.
- W3103285165 hasConceptScore W3103285165C143724316 @default.
- W3103285165 hasConceptScore W3103285165C151730666 @default.
- W3103285165 hasConceptScore W3103285165C158622935 @default.
- W3103285165 hasConceptScore W3103285165C177918212 @default.
- W3103285165 hasConceptScore W3103285165C182310444 @default.
- W3103285165 hasConceptScore W3103285165C183115368 @default.
- W3103285165 hasConceptScore W3103285165C186080144 @default.
- W3103285165 hasConceptScore W3103285165C24890656 @default.
- W3103285165 hasConceptScore W3103285165C28826006 @default.
- W3103285165 hasConceptScore W3103285165C33923547 @default.
- W3103285165 hasConceptScore W3103285165C60799052 @default.
- W3103285165 hasConceptScore W3103285165C62520636 @default.
- W3103285165 hasConceptScore W3103285165C72169020 @default.
- W3103285165 hasConceptScore W3103285165C73905626 @default.
- W3103285165 hasConceptScore W3103285165C86803240 @default.
- W3103285165 hasIssue "3" @default.
- W3103285165 hasLocation W31032851651 @default.