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題名 Solving System of Linear Equations Based on Modified Homotopy Perturbation Method
作者 劉明郎
Liu,Ming Long
貢獻者 應數系
關鍵詞 Modif ied homotopy perturbation; System of linear equations; Successive overrelaxation
日期 2013-03
上傳時間 27-Nov-2013 17:39:19 (UTC+8)
摘要 An efficient numerical algorithm for solving system of linear equations based on modified homotopy perturbation method (MHPM) is presented. We also study the convergence of the proposed algorithm. The convergent conditions of the proposed algorithm are constructed. The connection with the well-known algorithms such as successive over-relaxation (SOR) method is discussed. The proposed algorithm is compared with SOR method and those obtained by the original homotopy perturbation method. Some examples from the literature are given to illustrate that the proposed algorithm is outperform the results obtained by SOR and the original homotopy perturbation method.
關聯 International Journal of Intelligent Technologies and Applied Statistics, , 6(3), 307-320
資料類型 article
DOI http://dx.doi.org/10.6148/IJITAS.2013.0603.06
dc.contributor 應數系en_US
dc.creator (作者) 劉明郎zh_TW
dc.creator (作者) Liu,Ming Longen_US
dc.date (日期) 2013-03en_US
dc.date.accessioned 27-Nov-2013 17:39:19 (UTC+8)-
dc.date.available 27-Nov-2013 17:39:19 (UTC+8)-
dc.date.issued (上傳時間) 27-Nov-2013 17:39:19 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61901-
dc.description.abstract (摘要) An efficient numerical algorithm for solving system of linear equations based on modified homotopy perturbation method (MHPM) is presented. We also study the convergence of the proposed algorithm. The convergent conditions of the proposed algorithm are constructed. The connection with the well-known algorithms such as successive over-relaxation (SOR) method is discussed. The proposed algorithm is compared with SOR method and those obtained by the original homotopy perturbation method. Some examples from the literature are given to illustrate that the proposed algorithm is outperform the results obtained by SOR and the original homotopy perturbation method.en_US
dc.format.extent 2928889 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) International Journal of Intelligent Technologies and Applied Statistics, , 6(3), 307-320en_US
dc.subject (關鍵詞) Modif ied homotopy perturbation; System of linear equations; Successive overrelaxationen_US
dc.title (題名) Solving System of Linear Equations Based on Modified Homotopy Perturbation Methoden_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.6148/IJITAS.2013.0603.06-
dc.doi.uri (DOI) http://dx.doi.org/10.6148/IJITAS.2013.0603.06-