New Family of Higher Order Steffensen-Type Methods for Solving Nonlinear Equations

Journal of Modern Methods in Numerical Mathematics

R. Thukral¹ 

[1] Pade Research Center

关键词: Contraception;    Family planning;    Under-five mortality;    Unmet need;    Nigeria;   

DOI  :  10.20454/jmmnm.2012.97

学科分类：社会科学、人文和艺术（综合）

来源: Modern Science Publishers

【 摘 要 】

In this paper, a new family of higher order Steffensen-type methods for solving nonlinear equations are constructed.  It is proved that these methods have the convergence order of four to seven. The seventh, sixth and fifth order derivative-free methods only use four evaluations of the function per iteration, whereas the fourth-order derivative-free method is achieved with three function evaluations. The theory is supported by numerical examples comparing the existing methods with the new higher-order Steffensen-type methods presented.

【 授权许可】

Unknown