%0 Journal Article %A Hassan Saberi-Nik and Mahin Golchaman %D 2011 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 52, 2011 %T The Homotopy Analysis Method for Solving Discontinued Problems Arising in Nanotechnology %U https://publications.waset.org/pdf/12544 %V 52 %X This paper applies the homotopy analysis method method to a nonlinear differential-difference equation arising in nanotechnology. Continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as an alternative approach to describing discontinued problems. Comparison of the approximate solution with the exact one reveals that the method is very effective. %P 645 - 648