We present a new reliable analytical study for solving the discontinued problems arising in nanotechnology. Such
problems are presented as nonlinear differential–difference equations. The proposed method is based on the Laplace transform
with the homotopy analysis method (HAM). This method is powerful tool for solving a large amount of problems.
This technique provides a series of functions which may converge to the exact solution of the problem. A good agreement
between the obtained solution and some well-known results is obtained.
