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    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: 
    18/09/2019
    Palabra clave: 
    iterative methods; order of convergence; divided difference operator; efficiency index; nonlinear systems; JCR; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/9530
    DOI: 
    https://doi.org/10.1080/10236198.2019.1665653
    Dirección web: 
    https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1665653?journalCode=gdea20
    Resumen:
    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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