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Second derivative free sixth order continuation method for solving nonlinear equations with applications

Publisher : Journal of Mathematical Chemistry

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : In this paper, we deal with the study of convergence analysis of modifiedparameter based family of second derivative free continuation method for solvingnonlinear equations. We obtain the order of convergence is at least five and especially,for parameter α = 2 sixth order convergence. Some application such as Max Planck’sconservative law, multi-factor effect are discussed and demonstrate the efficiency andperformance of the new method (for α = 2). We compare the absolutely value offunction at each iteration | f (xn)| and |xn − ξ | with our method and Potra and Pták

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