a new family of four-step fifteenth-order root-finding methods with high efficiency index

نویسندگان

tahereh eftekhari

‎faculty of mathematics‎, ‎university of sistan and baluchestan‎, ‎zahedan 987-98155‎, ‎iran

چکیده

‎in this paper a new family of fifteenth-order methods with high efficiency index is presented‎. this family include four evaluations of the function and one evaluation of its first derivative per iteration.‎ ‎therefore‎, ‎this family of methods has the efficiency index which equals 1.71877‎. ‎in order to show the applicability and validity of the class‎, ‎some numerical examples are discussed‎.

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A new family of four-step fifteenth-order root-finding methods with high efficiency index

‎In this paper a new family of fifteenth-order methods with high efficiency index is presented‎. This family include four evaluations of the function and one evaluation of its first derivative per iteration.‎ ‎Therefore‎, ‎this family of methods has the efficiency index which equals 1.71877‎. ‎In order to show the applicability and validity of the class‎, ‎some numerical examples are discussed‎.

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عنوان ژورنال:
computational methods for differential equations

جلد ۳، شماره ۱، صفحات ۵۱-۵۸

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