Abstract
Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.
| Original language | English |
|---|---|
| Pages (from-to) | 179-186 |
| Number of pages | 8 |
| Journal | Sigma Journal of Engineering and Natural Sciences |
| Volume | 10 |
| Publication status | Published - 2019 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 Yildiz Technical University. All Rights Reserved.
Funding
The authors would like to thank the anonymous reviewers for their valuable comments and suggestions for improving the paper. The first author also would like to thank Scientific and Technological Research Council of Turkey (TUBITAK), under the 2211-E Program which supports the author.
| Funders | Funder number |
|---|---|
| Türkiye Bilimsel ve Teknolojik Araştırma Kurumu |
Keywords
- Duffing oscillator
- initial value problem
- Monte Carlo simulation
- nonlinear process
- stochastic method