文章基本信息

标题：A comparison of HPM, NDHPM, Picard and Picard–Padé methods for solving Michaelis–Menten equation
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作者：H. Vazquez-Leal ; H. Vazquez-Leal ; J. Rashidinia 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2015
卷号：27
期号：1
页码：7-14
DOI：10.1016/j.jksus.2014.11.001
语种：English
出版社：Elsevier
摘要：Abstract The fact that physical phenomena are modelled, mostly, by nonlinear differential equations underlines the importance of having reliable methods to solve them. In this work, we present a comparison of homotopy perturbation method (HPM), nonlinearities distribution homotopy perturbation method (NDHPM), Picard, and Picard–Padé methods to solve Michaelis–Menten equation. The results show that NDHPM possesses the smallest average absolute relative error 1.51(−2) of all tested methods, in the range of r ∈ [ 0 , 5 ] . Also, we introduce the combination of Picard’s iterative method and Padé approximants as an alternative to reduce complexity of Picard’s solutions and increase accuracy.
关键词：Homotopy perturbation method; Picard’s method; Padé; Michaelis–Menten;