Free vibration of the nonlinear pendulum using hybrid Laplace Adomian decomposition method - Tsai, Pa-Yee; Chen, Cha'o-Kuang (International journal for numerical methods in biomedical engineering, 2011)
Keywords: Adomian decomposition method; Approximants; Convergence; Decomposition; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical models; Mathematics; nonlinear pendulum; Nonlinearity; Numerical analysis; Numerical analysis. Scientific computation; Oscillators; Padé approximant; Partial differential equations; Partial differential equations, boundary value problems; Pendulums; Physics; Runge-Kutta method; Sciences and techniques of general use; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Adomian polynomial; Free vibration; Adomian decomposition method; Dynamical system; Runge Kutta method; Non linear system; Non linear oscillator; Vibration damping; Angular displacement; nonlinear pendulum; Pendulum; Padé approximant; Non linear effect; Microdisplacement; Linearization