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Application of Different <i>H</i>(<i>x</i>) in Homotopy Analysis Methods for Solving Systems of Linear Equations
Department of Mathematics, Islamic Azad University, Shahin Shahr Branch, Isfahan, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
- 1 Department of Mathematics, Islamic Azad University, Shahin Shahr Branch, Isfahan, Iran
- 2 Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
- 3 Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Advances in Linear Algebra & Matrix Theory·Volume 05 (2015)·Pages 129–137·Published 26 August 2015·DOI10.4236/alamt.2015.53012
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Abstract
In this paper, we present homotopy analysis method (HAM) for solving system of linear equations and use of different H ( x ) in this method. The numerical results indicate that this method performs better than the homotopy perturbation method (HPM) for solving linear systems.
KeywordsHAMHPMLinear System
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