On simulations of the classical harmonic Oscillator equation by difference equations
<p>We discuss the discretizations of the second-order linear ordinary diffrential equations with constant coefficients. Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differe...
| Format: | Article |
|---|---|
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
|
| Series: | Advances in Difference Equations |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/ADE/2006/40171 |
| _version_ | 1818893974923902976 |
|---|---|
| collection | DOAJ |
| description | <p>We discuss the discretizations of the second-order linear ordinary diffrential equations with constant coefficients. Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points. Such exact discretization can be found for an arbitrary lattice spacing.</p> |
| first_indexed | 2024-12-19T18:21:08Z |
| format | Article |
| id | doaj.art-5e83d6d7a9ce412c94fa51cfba515797 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 |
| language | English |
| last_indexed | 2024-12-19T18:21:08Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-5e83d6d7a9ce412c94fa51cfba5157972022-12-21T20:10:58ZengSpringerOpenAdvances in Difference Equations1687-18392006-01-012006On simulations of the classical harmonic Oscillator equation by difference equations<p>We discuss the discretizations of the second-order linear ordinary diffrential equations with constant coefficients. Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points. Such exact discretization can be found for an arbitrary lattice spacing.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/ADE/2006/40171 |
| spellingShingle | On simulations of the classical harmonic Oscillator equation by difference equations Advances in Difference Equations |
| title | On simulations of the classical harmonic Oscillator equation by difference equations |
| title_full | On simulations of the classical harmonic Oscillator equation by difference equations |
| title_fullStr | On simulations of the classical harmonic Oscillator equation by difference equations |
| title_full_unstemmed | On simulations of the classical harmonic Oscillator equation by difference equations |
| title_short | On simulations of the classical harmonic Oscillator equation by difference equations |
| title_sort | on simulations of the classical harmonic oscillator equation by difference equations |
| url | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/ADE/2006/40171 |