A reliable algorithm for solving discontinued problems arising in nanotechnology

In this paper, a reliable algorithm based on new homotopy perturbation transform method(hptm) is proposed to solve a nonlinear differential-difference equation arising in nanotechnology.continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as analternative approach to describing discontinued problems. the hptm is a combined form of laplacetransform, homotopy perturbation method and he's polynomials. the technique finds the solutionwithout any discretization or restrictive assumptions and avoids the round-off errors. the numericalsolutions show that the proposed method is very efficient and computationally attractive. it provides morerealistic series solutions that converge very rapidly for nonlinear real physical problems.