On a new class of optimal eighth-order derivative-free methods
نویسنده
چکیده
Making use of last derivative approximation and weight function approach, we construct an eighth-order class of three-step methods, which are consistent with the optimality conjecture of Kung-Traub for constructing multi-point methods without memory. Per iteration, any method of the developed class is totally free from derivative evaluation. Such classes of schemes are more practical when the calculation of derivatives is hard. Error analysis will also be studied. Finally, numerical comparisons are made to reveal the reliability of the proposed class.
منابع مشابه
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