Matches in SemOpenAlex for { <https://semopenalex.org/work/W1552425313> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W1552425313 abstract "In this paper, a new method called general variational iteration method (GVIM) has been presented for deriving accurate/approximate analytical solution to strong nonlinear oscillators. Oscillator problems are frequently encountered in many major fields of science and engineering. Only one iteration leads to high accuracy of the solutions and the relative error for the approximate period is less than 1.6% for amplitudes as high as 130◦. Furthermore, it is shown that a large class of linear or nonlinear differential equations can be solved without the tangible restriction of sensitivity to the degree of the nonlinear term, adding that the method is quite convenient due to reduction in size of calculations. Results obtained by General variational iteration method (GVIM) are compared with Homotopy Perturbation Method (HPM) and Energy Balance Method (EBM) and it is shown that, simply one term is enough to obtain a highly accurate result. The results are valid not only for weakly nonlinear systems, but also for strongly nonlinear ones. We believe that the present study may be a suitable and fruitful exercise for teaching and better understanding of analytical techniques in advanced undergraduate courses on classical mechanics." @default.
- W1552425313 created "2016-06-24" @default.
- W1552425313 creator A5049652184 @default.
- W1552425313 creator A5060803940 @default.
- W1552425313 creator A5061218556 @default.
- W1552425313 date "2011-01-01" @default.
- W1552425313 modified "2023-09-26" @default.
- W1552425313 title "Application of the General Variational Iteration Method to a Nonlinear System" @default.
- W1552425313 cites W1662091431 @default.
- W1552425313 cites W1970467391 @default.
- W1552425313 cites W1977180776 @default.
- W1552425313 cites W1984853762 @default.
- W1552425313 cites W1991220829 @default.
- W1552425313 cites W1996951748 @default.
- W1552425313 cites W2001003916 @default.
- W1552425313 cites W2058283342 @default.
- W1552425313 cites W2071417959 @default.
- W1552425313 cites W2093091471 @default.
- W1552425313 cites W2095271983 @default.
- W1552425313 cites W2129480266 @default.
- W1552425313 cites W2168358956 @default.
- W1552425313 hasPublicationYear "2011" @default.
- W1552425313 type Work @default.
- W1552425313 sameAs 1552425313 @default.
- W1552425313 citedByCount "0" @default.
- W1552425313 crossrefType "journal-article" @default.
- W1552425313 hasAuthorship W1552425313A5049652184 @default.
- W1552425313 hasAuthorship W1552425313A5060803940 @default.
- W1552425313 hasAuthorship W1552425313A5061218556 @default.
- W1552425313 hasConcept C121332964 @default.
- W1552425313 hasConcept C158622935 @default.
- W1552425313 hasConcept C28826006 @default.
- W1552425313 hasConcept C33923547 @default.
- W1552425313 hasConcept C61797465 @default.
- W1552425313 hasConcept C62520636 @default.
- W1552425313 hasConceptScore W1552425313C121332964 @default.
- W1552425313 hasConceptScore W1552425313C158622935 @default.
- W1552425313 hasConceptScore W1552425313C28826006 @default.
- W1552425313 hasConceptScore W1552425313C33923547 @default.
- W1552425313 hasConceptScore W1552425313C61797465 @default.
- W1552425313 hasConceptScore W1552425313C62520636 @default.
- W1552425313 hasLocation W15524253131 @default.
- W1552425313 hasOpenAccess W1552425313 @default.
- W1552425313 hasPrimaryLocation W15524253131 @default.
- W1552425313 hasRelatedWork W111002075 @default.
- W1552425313 hasRelatedWork W1543115145 @default.
- W1552425313 hasRelatedWork W1972962401 @default.
- W1552425313 hasRelatedWork W1973735894 @default.
- W1552425313 hasRelatedWork W1997858083 @default.
- W1552425313 hasRelatedWork W2001816681 @default.
- W1552425313 hasRelatedWork W2034186711 @default.
- W1552425313 hasRelatedWork W2044634997 @default.
- W1552425313 hasRelatedWork W2074765826 @default.
- W1552425313 hasRelatedWork W2102779580 @default.
- W1552425313 hasRelatedWork W2550552660 @default.
- W1552425313 hasRelatedWork W2566563741 @default.
- W1552425313 hasRelatedWork W2599247187 @default.
- W1552425313 hasRelatedWork W2738220517 @default.
- W1552425313 hasRelatedWork W2973807632 @default.
- W1552425313 hasRelatedWork W3101484296 @default.
- W1552425313 hasRelatedWork W344486352 @default.
- W1552425313 hasRelatedWork W947338236 @default.
- W1552425313 hasRelatedWork W3145879957 @default.
- W1552425313 hasRelatedWork W345438162 @default.
- W1552425313 isParatext "false" @default.
- W1552425313 isRetracted "false" @default.
- W1552425313 magId "1552425313" @default.
- W1552425313 workType "article" @default.