Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow  

作　　者：陈芳 刘青泉 

机构地区：[1]Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences [2]School of Applied Science, Beijing Information Science and Technology University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第4期481-488,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Funds of China for Distinguished Young Scholars(No.10825211);the Key of Natural Science Foundation of China(No.10932012);the Beijing Natural Science Foundation(No.1122015)

摘　　要：The Adomian decomposition method （ADM） is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be ob- tained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.The Adomian decomposition method （ADM） is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be ob- tained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.

关 键 词：groundwater flow Boussinesq equation Adomian decomposition asymp-totic Adomian decomposition 

分 类 号：O35[理学—流体力学]