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Homotopy perturbation method with three expansions
Journal of Mathematical Chemistry, 2021The authors suggest the homotopy perturbation method with three expansions to solve nonlinear oscillator problems with damping terms. They solve the Duffing equation with linear damping to explain the homotopy method with three expansions. In addition to the homotopy perturbation method they add the amplitude expanding method. The solutions obtained by
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Homotopy perturbation method for Fangzhu oscillator
Journal of Mathematical Chemistry, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A heuristic review on the homotopy perturbation method for non-conservative oscillators
Journal of Low Frequency Noise Vibration and Active Control, 2021The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in analytical methods, and all traditional analytical methods had abdicated their crowns.
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Homotopy perturbation method for N/MEMS oscillators
The nano/microelectromechanical systems (N/MEMS) have caught much attention in the past few decades for their attractive properties such as small size (low mass), high reliability (high thermal conductivity and high Young's modulus), batch fabrication, and low power consumption.
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