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    CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems

    Autor: 
    Chicharro, Francisco Israel (1)
    ;
    Cordero, Alicia
    ;
    Martínez, Tobias H. (1)
    ;
    Torregrosa, Juan Ramón
    Fecha: 
    03/2020
    Palabra clave: 
    nonlinear systems; iterative method; weight functions; complex dynamics; basin of attraction; chemical applications; JCR; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/10192
    DOI: 
    https://doi.org/10.1007/s10910-019-01085-2
    Dirección web: 
    https://link.springer.com/article/10.1007/s10910-019-01085-2#citeas
    Resumen:
    The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative methods have been proposed in the literature. The evolution of these methods in terms of order of convergence implies the inclusion of a weight function for each case, showing an optimal fourth-order convergence, in the sense of Kung-Traub's conjecture. The analysis of these new schemes is performed by means of complex dynamics. These methods are applied on the solution of the nonlinear Colebrook-White equation and the nonlinear system of the equilibrium conversion, both frequently used in Chemistry.
    Descripción: 
    A correction to this article is available online at https://doi.org/10.1007/s10910-019-01090-5.
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