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The variational iteration method for nonlinear oscillators with discontinuities. (English) Zbl 1242.65154
Summary: He’s variational iteration method (VIM) is applied to nonlinear oscillators with discontinuities. We illustrate that the VIM is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in VIM, only one iteration leads to high accuracy of the solutions. Moreover, we show that the obtained approximate solutions are valid for the whole solution domain and the approximations are uniformly valid not only for small parameters, but also for very large parameters.
MSC:
65L99Numerical methods for ODE
34C15Nonlinear oscillations, coupled oscillators (ODE)
34A45Theoretical approximation of solutions of ODE