Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method (Q1954999)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method |
scientific article; zbMATH DE number 6173429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method |
scientific article; zbMATH DE number 6173429 |
Statements
Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method (English)
0 references
11 June 2013
0 references
Summary: The cubication and the equivalent nonlinearization methods are used to replace the original Duffing-harmonic oscillator by an approximate Duffing equation in which the coefficients for the linear and cubic terms depend on the initial oscillation amplitude. It is shown that this procedure leads to angular frequency values with a maximum relative error of 0.055\%. This value is 21\% lower than the relative errors attained by previously developed approximate solutions.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
