The homotopy perturbation method for discontinued problems arising in nanotechnology

  • Authors:

  • Shun-dong Zhu;Yu-ming Chu;Song-liang Qiu

  • Affiliations:

  • College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, PR China;Department of Mathematics, Huzhou Teachers College, Huzhou 313000, PR China;College of Science, Zhejiang Sci-Tech University, HangZhou 310018, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

Continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as an alternative approach to describing discontinued problems. This paper applies the homotopy perturbation method to a nonlinear differential-difference equation arising in nanotechnology. Comparison of the approximate solution with the exact one reveals that the method is very effective.