A penta-parametric family of fifteenth-order multipoint methods for nonlinear equations

作者：Geum Young Hee; Kim Young Ik^*

来源：Applied Mathematics and Computation, 2010, 217(6): 2311-2319.

DOI：10.1016/j.amc.2010.07.029

• Eighth-order
• Fourteenth-order
• Fifteenth-order
• Penta-parametric family
• Asymptotic error constant
• Efficiency index
• Error equation

A penta-parametric family of four-step multipoint iterative methods of order fifteen for nonlinear algebraic equations are developed and their convergence properties are established. The efficiency indices are all found to be 15(1/5) approximate to 1.71877, better than 14(1/5) approximate to 1.69522 of a family of fourteenth-order methods suggested by Neta [9]. Numerical examples are demonstrated to verify the developed theory.

• 出版日期2010-11-15