FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2051233168> ?p ?o ?g. }

• W2051233168 endingPage "4319" @default.
• W2051233168 startingPage "4304" @default.
• W2051233168 abstract "Four approximate methods based on order reduction, the introduction of a book-keeping parameter and power series expansions for the solution and the frequency of oscillation are used to analyze three autonomous, nonlinear, third-order ordinary differential equations which have analytical periodic solutions. The first method introduces the velocity in both sides of the equation if this (linear) term is not present. The second one is based on the first one but employs a new independent variable, whereas, in the third and fourth techniques, a term equal to the velocity times the square of the unknown frequency of oscillation is introduced in both sides of the equation. The third method uses the original independent variable, whereas the fourth one employs a new independent variable which depends linearly on the unknown frequency of oscillation. It is shown that the second method provides accurate solutions only for initial velocities close to unity, whereas the third one is found to yield very accurate results for the first and second equations considered here and only for large initial velocities for the third one. The fourth technique provides as accurate results as or more accurate results than parameter-perturbation techniques which deal with the third-order equations directly and are based on the expansion of certain constants that appear in the differential equations in terms of a book-keeping parameter." @default.
• W2051233168 created "2016-06-24" @default.
• W2051233168 creator A5039785053 @default.
• W2051233168 date "2010-02-01" @default.
• W2051233168 modified "2023-10-14" @default.
• W2051233168 title "Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations" @default.
• W2051233168 cites W1983855857 @default.
• W2051233168 cites W1984480558 @default.
• W2051233168 cites W1994475694 @default.
• W2051233168 cites W1994859578 @default.
• W2051233168 cites W1994998379 @default.
• W2051233168 cites W1996097484 @default.
• W2051233168 cites W2001759490 @default.
• W2051233168 cites W2021282919 @default.
• W2051233168 cites W2026759575 @default.
• W2051233168 cites W2027634124 @default.
• W2051233168 cites W2029570895 @default.
• W2051233168 cites W2030911890 @default.
• W2051233168 cites W2037061473 @default.
• W2051233168 cites W2066205711 @default.
• W2051233168 cites W2074240244 @default.
• W2051233168 cites W2077539269 @default.
• W2051233168 cites W2092182389 @default.
• W2051233168 cites W2115213587 @default.
• W2051233168 cites W2137492046 @default.
• W2051233168 doi "https://doi.org/10.1016/j.amc.2009.12.057" @default.
• W2051233168 hasPublicationYear "2010" @default.
• W2051233168 type Work @default.
• W2051233168 sameAs 2051233168 @default.
• W2051233168 citedByCount "13" @default.
• W2051233168 countsByYear W20512331682012 @default.
• W2051233168 countsByYear W20512331682013 @default.
• W2051233168 countsByYear W20512331682014 @default.
• W2051233168 countsByYear W20512331682016 @default.
• W2051233168 countsByYear W20512331682017 @default.
• W2051233168 countsByYear W20512331682020 @default.
• W2051233168 crossrefType "journal-article" @default.
• W2051233168 hasAuthorship W2051233168A5039785053 @default.
• W2051233168 hasConcept C111335779 @default.
• W2051233168 hasConcept C121112783 @default.
• W2051233168 hasConcept C121332964 @default.
• W2051233168 hasConcept C134306372 @default.
• W2051233168 hasConcept C138885662 @default.
• W2051233168 hasConcept C13982400 @default.
• W2051233168 hasConcept C143724316 @default.
• W2051233168 hasConcept C151730666 @default.
• W2051233168 hasConcept C158622935 @default.
• W2051233168 hasConcept C177918212 @default.
• W2051233168 hasConcept C182365436 @default.
• W2051233168 hasConcept C185184677 @default.
• W2051233168 hasConcept C2524010 @default.
• W2051233168 hasConcept C27206212 @default.
• W2051233168 hasConcept C2777566824 @default.
• W2051233168 hasConcept C2778439541 @default.
• W2051233168 hasConcept C28826006 @default.
• W2051233168 hasConcept C33923547 @default.
• W2051233168 hasConcept C51544822 @default.
• W2051233168 hasConcept C54355233 @default.
• W2051233168 hasConcept C61797465 @default.
• W2051233168 hasConcept C62520636 @default.
• W2051233168 hasConcept C78045399 @default.
• W2051233168 hasConcept C86803240 @default.
• W2051233168 hasConceptScore W2051233168C111335779 @default.
• W2051233168 hasConceptScore W2051233168C121112783 @default.
• W2051233168 hasConceptScore W2051233168C121332964 @default.
• W2051233168 hasConceptScore W2051233168C134306372 @default.
• W2051233168 hasConceptScore W2051233168C138885662 @default.
• W2051233168 hasConceptScore W2051233168C13982400 @default.
• W2051233168 hasConceptScore W2051233168C143724316 @default.
• W2051233168 hasConceptScore W2051233168C151730666 @default.
• W2051233168 hasConceptScore W2051233168C158622935 @default.
• W2051233168 hasConceptScore W2051233168C177918212 @default.
• W2051233168 hasConceptScore W2051233168C182365436 @default.
• W2051233168 hasConceptScore W2051233168C185184677 @default.
• W2051233168 hasConceptScore W2051233168C2524010 @default.
• W2051233168 hasConceptScore W2051233168C27206212 @default.
• W2051233168 hasConceptScore W2051233168C2777566824 @default.
• W2051233168 hasConceptScore W2051233168C2778439541 @default.
• W2051233168 hasConceptScore W2051233168C28826006 @default.
• W2051233168 hasConceptScore W2051233168C33923547 @default.
• W2051233168 hasConceptScore W2051233168C51544822 @default.
• W2051233168 hasConceptScore W2051233168C54355233 @default.
• W2051233168 hasConceptScore W2051233168C61797465 @default.
• W2051233168 hasConceptScore W2051233168C62520636 @default.
• W2051233168 hasConceptScore W2051233168C78045399 @default.
• W2051233168 hasConceptScore W2051233168C86803240 @default.
• W2051233168 hasIssue "12" @default.
• W2051233168 hasLocation W20512331681 @default.
• W2051233168 hasOpenAccess W2051233168 @default.
• W2051233168 hasPrimaryLocation W20512331681 @default.
• W2051233168 hasRelatedWork W1994753406 @default.
• W2051233168 hasRelatedWork W2015745036 @default.
• W2051233168 hasRelatedWork W2027338899 @default.
• W2051233168 hasRelatedWork W2051233168 @default.
• W2051233168 hasRelatedWork W2739513756 @default.
• W2051233168 hasRelatedWork W4232322965 @default.
• W2051233168 hasRelatedWork W4313157946 @default.
• W2051233168 hasRelatedWork W4318144852 @default.

• next