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