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A study of homotopy analysis method for limit cycle of van der Pol equation. (English) Zbl 1221.65198
Summary: The homotopy analysis method for limit cycle of the van der Pol equation is computationally extensive. Aiming at reducing the computational efforts, we construct the deformation equations using different initial conditions from those in the existing literature. The computational efforts are significantly reduced, And the calculated amplitude and frequency of the limit cycle are in excellent agreement with the exact solutions.

MSC:
65L99 Numerical methods for ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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