Application of Different H(x) in Homotopy Analysis Methods for Solving Systems of Linear Equations

Mohammad Hasan Khani; Jalil Rashidinia; Sajjad Zia Borujeni

doi:10.4236/alamt.2015.53012

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ALAMT> Vol.5 No.3, September 2015

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Application of Different H(x) in Homotopy Analysis Methods for Solving Systems of Linear Equations

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DOI: 10.4236/alamt.2015.53012 3,612 Downloads 4,173 Views Citations

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Mohammad Hasan Khani¹, Jalil Rashidinia², Sajjad Zia Borujeni^1,2*

Affiliation(s)

¹Department of Mathematics, Islamic Azad University, Shahin Shahr Branch, Isfahan, Iran.
²Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.

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.

KEYWORDS

HAM, HPM, Linear System

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Khani, M. , Rashidinia, J. and Borujeni, S. (2015) Application of Different H(x) in Homotopy Analysis Methods for Solving Systems of Linear Equations. Advances in Linear Algebra & Matrix Theory, 5, 129-137. doi: 10.4236/alamt.2015.53012.

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