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A comparison of HPM,NDHPM,Picard and Picard-Padé methods for solving Michaelis-Menten equation
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نویسنده
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vazquez-leal h. ,rashidinia j. ,hernandez-martinez l. ,daei-kasmaei h.
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منبع
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journal of king saud university - science - 2015 - دوره : 27 - شماره : 1 - صفحه:7 -14
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چکیده
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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. © 2014.
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کلیدواژه
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Homotopy perturbation method; Michaelis-Menten; Padé; Picard's method
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آدرس
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electronic instrumentation and atmospheric sciences school,university of veracruz,cto. gonzalo aguirre beltrán s/n,xalapa, Mexico, department of mathematics and statistics,faculty of basic science,islamic azad university,central tehran branch,p.o. box 13185.768, ایران, national institute for astrophysics,optics and electronics,luis enrique erro #1,sta. maría tonantzintla 72840, Mexico, department of mathematics and statistics,faculty of basic science,islamic azad university,central tehran branch,p.o. box 13185.768, ایران
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Authors
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