Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations
نویسندگان
چکیده
We present another simple way of deriving several iterative methods for solving nonlinear equations numerically. The presented approach of deriving these methods is based on exponentially fitted osculating straight line. These methods are the modifications of Newton’s method. Also, we obtain well-known methods as special cases, for example, Halley’s method, super-Halley method, Ostrowski’s square-root method, Chebyshev’s method, and so forth. Further, new classes of thirdorder multipoint iterative methods free from a second-order derivative are derived by semidiscrete modifications of cubically convergent iterative methods. Furthermore, a simple linear combination of two third-order multipoint iterative methods is used for designing new optimal methods of order four.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012