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

S. A. Edalatpanah | Zendy; Mohammad Mehdi Rashidi | Zendy

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

Author(s) -

S. A. Edalatpanah,

Mohammad Mehdi Rashidi

Publication year - 2014

Publication title -

international scholarly research notices

Language(s) - English

Resource type - Journals

ISSN - 2356-7872

DOI - 10.1155/2014/143512

Subject(s) - homotopy perturbation method , rate of convergence , homotopy analysis method , perturbation (astronomy) , mathematics , computer science , convergence (economics) , homotopy , physics , computer network , channel (broadcasting) , quantum mechanics , pure mathematics , economics , economic growth

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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