WASET
	%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