Analytical Approximate Solutions for Nonlinear Differential-Difference Equations Arising in Nanotechnology

作者：Gepreel Khaled A; Abo Dahab S M; Mohamed Mohamed S^*

来源：Journal of Computational and Theoretical Nanoscience, 2015, 12(6): 1040-1044.

DOI：10.1166/jctn.2015.3847

• Nonlinear Differential-Difference Equation
• Homotopy Analysis Transform Method
• Laplace Transform
• Optimal Homotopy Analysis Method

In this paper, the optimal homotopy analysis transform method (OHATM)sds is presented for solving nonlinear differential difference equations. This method is simple it effective for calculating the analytical approximate soltions for nonlinear differential difference equation. OHATM is a combined form Laplace transform, and the optimal homotopy analysis method. The technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The numerical solutions show that the proposed method is very efficient and computationally attractive. It provides more realistic series solutions that converge very rapidly for nonlinear real physical problems. The results reveal that the method is very effective for solving more kind of nonlinear differential equations in math. physics.

• 出版日期2015-6