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 | |
| Publication status | Published - Apr 2014 |
| Externally published | Yes |
Keywords
- Adomian decomposition
- Boussinesq equation
- asymptotic Adomian decomposition
- groundwater flow
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Chen, F., & Liu, Q. Q. (2014). Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow. Applied Mathematics and Mechanics (English Edition), 35(4), 481-488. https://doi.org/10.1007/s10483-014-1806-7