文章基本信息

标题：On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations
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作者：S. A. Edalatpanah ; M. M. Rashidi
期刊名称：ISRN Computational Mathematics
电子版ISSN：2090-7842
出版年度：2014
卷号：2014
DOI：10.1155/2014/143512
出版社：Hindawi Publishing Corporation
摘要：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.