Abstract
In this paper, the approximate solutions of the mathematical model of a mass attached to a stretched elastic wire are presented. At the beginning of the study, the equation of motion is derived in a detailed way. He's maxmin approach, He's frequencyamplitude method and the parameter-expansion method are implemented to solve the established model. The numerical results are further compared with the approximate analytical solutions for both a small and large amplitude of oscillations, and a very good agreement is observed. The relative errors are computed to illustrate the strength of agreement between the numerical and approximate analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 578-585 |
| Number of pages | 8 |
| Journal | Computers and Mathematics with Applications |
| Volume | 61 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Feb 2011 |
Keywords
- He's frequencyamplitude method
- He's maxmin approach
- Nonlinear oscillator
- Parameter-expansion method
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