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Modified Semi-Analytical Approach for Duffing Equation.
- Source :
- Acta Mechanica et Automatica; Jun2024, Vol. 18 Issue 2, p300-306, 7p
- Publication Year :
- 2024
-
Abstract
- This research endeavour-investigates the enhanced adaptation of the Laplace-based variational iteration method (VIM) tailored specifically for tackling the Duffing Equation. This is accomplished by incorporating the Lagrange multiplier as a strategic tool to effectively address the inherent natural frequency within the Duffing Equation. Using a meticulous comparative analysis, here are juxtapose the analytical outcomes generated by the modified VIM approach with the numerical solution obtained through the application of the renowned Runge-Kutta Fehlberg method (RKF45), implemented by using the powerful mathematical software, MAPLE. Furthermore, by exploring the profound influence of diverse initial conditions on the resulting solution, a diverse array of distinct graphical representations is presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18984088
- Volume :
- 18
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Acta Mechanica et Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 178292545
- Full Text :
- https://doi.org/10.2478/ama-2024-0033