Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear differential equations systems areas. The matrices of pie...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201825104024 |
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doaj-8470b146144946368c755d4cfb45ed392021-02-02T00:34:48ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012510402410.1051/matecconf/201825104024matecconf_ipicse2018_04024Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanicsLeibov RomanThis paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear differential equations systems areas. The matrices of piecewise continuous differential and algebraic equations systems are estimated using nonlinear differential equations system time responses and random search method. The results of proposed approach application are presented.https://doi.org/10.1051/matecconf/201825104024 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Leibov Roman |
| spellingShingle |
Leibov Roman Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics MATEC Web of Conferences |
| author_facet |
Leibov Roman |
| author_sort |
Leibov Roman |
| title |
Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| title_short |
Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| title_full |
Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| title_fullStr |
Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| title_full_unstemmed |
Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| title_sort |
piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics |
| publisher |
EDP Sciences |
| series |
MATEC Web of Conferences |
| issn |
2261-236X |
| publishDate |
2018-01-01 |
| description |
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear differential equations systems areas. The matrices of piecewise continuous differential and algebraic equations systems are estimated using nonlinear differential equations system time responses and random search method. The results of proposed approach application are presented. |
| url |
https://doi.org/10.1051/matecconf/201825104024 |
| work_keys_str_mv |
AT leibovroman piecewisecontinuousapproachtononlineardifferentialequationsapproximationproblemofcomputationalstructuralmechanics |
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