New homotopy analysis transform method for solving the discontinued problems arising in nanotechnology

作     者：M.M.Khader Sunil Kumar S.Abbasbandy 

作者机构：Department of Mathematics and Statistics College of Science Al-Imam Mohammed Ibn Saud Islamic University (IMSIU) Department of Mathematics Faculty of Science Benha University Department of Mathematics National Institute of Technology Department of Mathematics Imam Khomeini International University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第11期

页      面：135-139页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：discretized mKdV lattice equation nonlinear differential-difference equations Laplace transform,homotopy analysis transform method 

摘      要：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 trans- form with the homotopy analysis method （HAM）. This method is a 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.