From the Euler method to the closed-form solution of the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force
| dc.contributor.author | de Castro, Antonio S. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T20:05:31Z | |
| dc.date.issued | 2024-01-01 | |
| dc.description.abstract | The Euler method of numeric approximation for solving initial-value problems is applied for describing the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force. By employing the formula for the sums of powers of integers, it is shown that the recurrence relation obtained from the Euler method converges to the exact closed-form solution. | en |
| dc.description.affiliation | Universidade Estadual Paulista Faculdade de Engenharia e Ciências, SP | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista Faculdade de Engenharia e Ciências, SP | |
| dc.identifier | http://dx.doi.org/10.1590/1806-9126-RBEF-2024-0266 | |
| dc.identifier.citation | Revista Brasileira de Ensino de Fisica, v. 46. | |
| dc.identifier.doi | 10.1590/1806-9126-RBEF-2024-0266 | |
| dc.identifier.issn | 0102-4744 | |
| dc.identifier.scopus | 2-s2.0-85205361107 | |
| dc.identifier.uri | https://hdl.handle.net/11449/306160 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Revista Brasileira de Ensino de Fisica | |
| dc.source | Scopus | |
| dc.subject | Euler method | |
| dc.subject | first-order differential equation | |
| dc.subject | numeric approximation | |
| dc.title | From the Euler method to the closed-form solution of the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication |