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

Fang Chen; Qing Quan Liu

doi:10.1007/s10483-014-1806-7

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

Fang Chen
, Qing Quan Liu^*

^*Corresponding author for this work

CAS - Institute of Mechanics
Beijing Information Science & Technology University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	481-488
Number of pages	8
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	35
Issue number	4
DOIs	https://doi.org/10.1007/s10483-014-1806-7
Publication status	Published - Apr 2014
Externally published	Yes

Keywords

Adomian decomposition
Boussinesq equation
asymptotic Adomian decomposition
groundwater flow

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10.1007/s10483-014-1806-7

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abstract = "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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AU - Liu, Qing Quan

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AB - 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.

KW - Adomian decomposition

KW - Boussinesq equation

KW - asymptotic Adomian decomposition

KW - groundwater flow

UR - https://www.scopus.com/pages/publications/84899763578

U2 - 10.1007/s10483-014-1806-7

DO - 10.1007/s10483-014-1806-7

M3 - Article

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SP - 481

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 4

ER -

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

Abstract

Keywords

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