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Zbl 1189.65186
Zhu, Shun-Dong; Chu, Yu-Ming; Qiu, Song-Liang
The homotopy perturbation method for discontinued problems arising in nanotechnology.
(English)
[J] Comput. Math. Appl. 58, No. 11-12, 2398-2401 (2009). ISSN 0898-1221

Summary: 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.
MSC 2000:
*65L99 Numerical methods for ODE
82D80
35Q74

Keywords: discretized mKdV lattice equation; homotopy perturbation method; approximate solution

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