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pro vyhledávání: '"Alvaro H. S. Salas"'
Publikováno v:
The Scientific World Journal, Vol 2022 (2022)
In this paper, we generalize He’s frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate fo
Externí odkaz:
https://doaj.org/article/9928149c19084ca380357dbe7e9eb0aa
Autor:
Alvaro H. S. Salas
Publikováno v:
The Scientific World Journal, Vol 2022 (2022)
In this paper, we make use of the Galerkin method for solving nonlinear second-order ODEs that are related to some strongly nonlinear oscillators arising in physics and engineering. We derive the iterative schemes for finding the coefficients that ap
Externí odkaz:
https://doaj.org/article/c00115afb437432bad571b55346be7bc
Autor:
Alvaro H. S. Salas
Publikováno v:
The Scientific World Journal, Vol 2022 (2022)
The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analyt
Externí odkaz:
https://doaj.org/article/535caec74fc643c1bc0f79e7fce424b7