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

被引：5
|
作者：
Chen, Fang
Liu, Qing-quan
机构：
[1] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2014年 / 35卷 / 04期
基金：
北京市自然科学基金;
关键词：
groundwater flow; Boussinesq equation; Adomian decomposition; asymptotic Adomian decomposition; DIFFERENTIAL-EQUATIONS; ALGORITHM;
D O I：
10.1007/s10483-014-1806-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Adomian decomposition method (ADM) is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be obtained 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.
引用
收藏
页码：481 / 488
页数：8
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