A new efficient parametric family of iterative methods for solving nonlinear systems
Autor:
Chicharro, Francisco Israel (1)
; Cordero, Alicia
; Garrido, Neus
; Torregrosa, Juan Ramón
Fecha:
18/09/2019Palabra clave:
Tipo de Ítem:
Articulo Revista IndexadaResumen:
A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational efficiency indices are studied for this family and compared with that of the other known schemes with similar structure. In the numerical section, we solve, after discretizating, the nonlinear boundary problem described by the Fisher's equation. This numerical example confirms the theoretical results and show the performance of the proposed schemes.
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