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Section B

Approximate analytical solutions to thermo-poroelastic equations by means of the iterated homotopy analysis method

Pages 1763-1775 | Received 27 Apr 2010, Accepted 18 Sep 2010, Published online: 22 Mar 2011
 

Abstract

A new approach of the homotopy analysis method (HAM), named iterated homotopy analysis method (I-HAM) is used to find approximate analytical solutions to thermo-poroelastic equations. The homotopy analysis method contains the auxiliary parameter ℏ, which provides us with a simple way to adjust and control the convergence region of the series solution. This method is reliable and manageable. The I-HAM solutions are compared with numerical solutions. To the best of our knowledge, this kind of analytic solutions has been never reported. Also, in each example, the comparison between I-HAM and traditional HAM is done, which shows the efficiency of I-HAM.

2000 AMS Subject Classifications :

Acknowledgements

The authors would like to thank the anonymous referees and the editor for valuable suggestions.

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