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Homotopy Perturbation Method for the Attachment Oscillator Arising in Nanotechnology

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Abstract

Bubble electrospinning is an effective method to produce nanofibers with different morphologies. Numerous polymer film fragments are formed from bursting bubbles, which elongate to nanofibers under high electrostatic voltage. In two polymers, bubble electrospinning film fragments of both polymers could interact due to the dominant surface-induced force named geometrical potential. Mathematical models are established to elaborate on the non-linear oscillators with singular terms. Parameter expansion technology used in the homotopy perturbation method can be useful for such kind of non-linear oscillators. In this paper, this technique is implemented to find the amplitude-frequency relationship of the attachment oscillator used in the molecular electrospinning process to produce nanofibers. The results depict the effectiveness of the method and show that the frequency obtained for duffing oscillator is highly accurate in exceptional cases.

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Authors and Affiliations

  1. National Engineering Labortary for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, 215000, China

    Muhammad Ali, Naveed Anjum & Qura Tul Ain

  2. School of Mathematical Sciences, Soochow University, Suzhou, 215000, China

    Naveed Anjum & Qura Tul Ain

  3. Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan

    Naveed Anjum

  4. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454150, China

    Ji-Huan He

Authors
  1. Muhammad Ali
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  2. Naveed Anjum
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  3. Qura Tul Ain
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  4. Ji-Huan He
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Correspondence to Ji-Huan He.

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Ali, M., Anjum, N., Ain, Q.T. et al. Homotopy Perturbation Method for the Attachment Oscillator Arising in Nanotechnology. Fibers Polym 22, 1601–1606 (2021). https://doi.org/10.1007/s12221-021-0844-x

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  • DOI: https://doi.org/10.1007/s12221-021-0844-x

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