%0 Journal Article %T Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Eftekhari, Tahereh %D 2020 %\ 04/01/2020 %V 8 %N 2 %P 222-235 %! Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations %K Interval analysis‎ %K ‎Nonlinear equations‎ %K ‎Halley method %K ‎Guaranteed convergence %R 10.22034/cmde.2020.25755.1320 %X In this paper, interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations are produced. Error analysis and convergence will be discussed. Also, these methods are compared together with the interval Newton method. %U https://cmde.tabrizu.ac.ir/article_10366_75062373807adda4909d28863e00963c.pdf