On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations

The application of homotopy perturbation method (HPM) for solving systems of linear equations is further discussed and focused on a method for choosing an auxiliary matrix to improve the rate of convergence. Moreover, solving of convection-diffusion equations has been developed by HPM and the conver...

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Detalles Bibliográficos
Autores principales: Edalatpanah, S. A., Rashidi, M. M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897428/
https://www.ncbi.nlm.nih.gov/pubmed/27350974
http://dx.doi.org/10.1155/2014/143512
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author Edalatpanah, S. A.
Rashidi, M. M.
author_facet Edalatpanah, S. A.
Rashidi, M. M.
author_sort Edalatpanah, S. A.
collection PubMed
description The application of homotopy perturbation method (HPM) for solving systems of linear equations is further discussed and focused on a method for choosing an auxiliary matrix to improve the rate of convergence. Moreover, solving of convection-diffusion equations has been developed by HPM and the convergence properties of the proposed method have been analyzed in detail; the obtained results are compared with some other methods in the frame of HPM. Numerical experiment shows a good improvement on the convergence rate and the efficiency of this method.
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spelling pubmed-48974282016-06-27 On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations Edalatpanah, S. A. Rashidi, M. M. Int Sch Res Notices Research Article The application of homotopy perturbation method (HPM) for solving systems of linear equations is further discussed and focused on a method for choosing an auxiliary matrix to improve the rate of convergence. Moreover, solving of convection-diffusion equations has been developed by HPM and the convergence properties of the proposed method have been analyzed in detail; the obtained results are compared with some other methods in the frame of HPM. Numerical experiment shows a good improvement on the convergence rate and the efficiency of this method. Hindawi Publishing Corporation 2014-11-16 /pmc/articles/PMC4897428/ /pubmed/27350974 http://dx.doi.org/10.1155/2014/143512 Text en Copyright © 2014 S. A. Edalatpanah and M. M. Rashidi. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Edalatpanah, S. A.
Rashidi, M. M.
On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title_full On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title_fullStr On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title_full_unstemmed On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title_short On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
title_sort on the application of homotopy perturbation method for solving systems of linear equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897428/
https://www.ncbi.nlm.nih.gov/pubmed/27350974
http://dx.doi.org/10.1155/2014/143512
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