- 期刊
Solving System of Linear Equations Based on Modified Homotopy Perturbation Method
並列摘要
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.
被引用紀錄
Chen, J. R. (2010). 氧化鉺薄膜於電阻式記憶體的製作與轉態特性之研究 [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2010.00421
Huang, Y. J. (2017). 低功耗電阻式記憶體之元件設計與其特性研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201700727
Chueh, C. H. (2014). 路徑的同調群 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.10571
延伸閱讀
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- Wang, Y. X., Si, H. Y., & Mo, L. F. (2008). Homotopy Perturbation Method for Solving Reaction-Diffusion Equations. Mathematical Problems in Engineering, 2008(), 1235-1239. https://doi.org/10.1155/2008/795838
- Towsyfyan, P., Salehi, P. A., & Davoudi, P. (2013). The Application of Homotopy Perturbation Method to Blasius Equations. Research Journal of Mathematics and Statistics, 5(1&2), 1-4. https://www.airitilibrary.com/Article/Detail?DocID=20407505-201305-201507130006-201507130006-1-4
- Eftekhari, T. (2014). On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations. International Journal of Differential Equations, (2014), 139-144. https://doi.org/10.1155/2014/495357
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