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A New Three-step Iterative Method for Solving Nonlinear Equations
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نویسنده
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Matin Far Mashallah ,Aminzadeh Mohammad ,Asadpour Sasan
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منبع
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journal of mathematical extension - 2012 - دوره : 6 - شماره : 1 - صفحه:29 -39
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چکیده
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In this paper, a new three-step iterative method for finding a simple root of the nonlinear equation of f(x) = 0 will be introduced. this method is based on the two-step method of [c. chun, y. ham, some fourth-order modifications of newton’s method, appl. math. comput. 197 (2008) 654-658]. the new method requires three evaluations of the function and two of its first-derivative. we will prove that the order of convergence of the new method and its efficiency index will respectively be 8, and 1.5157. some numerical experiments are given to illustrate the performance of the three-step iterative method.
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کلیدواژه
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Nonlinear equation ,iterative method ,three- step iterative method ,convergence order ,efficiency index.
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آدرس
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university of mazandaran, Department of Mathematics and Computer Science, ایران, university of mazandaran, Science of Mathematics Faculty, Department of Mathematics, ایران, university of mazandaran, Science of Mathematics Faculty, Department of Mathematics, ایران
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پست الکترونیکی
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sasan.a.g@gmail.com
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Authors
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