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.
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页码：481 / 488
页数：8
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