文章基本信息

标题：SOLVING NONLINEAR EQUATIONS USING A NEW TENTH-AND SEVENTH-ORDER METHODS FREE FROM SECOND DERIVATIVE
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作者：Hafiz, M.A. ; Al-Goria, Salwa M.H.
期刊名称：International Journal of Differential Equations and Applications
印刷版ISSN：1311-2872
出版年度：2013
卷号：12
期号：4
DOI：10.12732/ijdea.v12i4.1344
语种：English
出版社：International Journal of Differential Equations and Applications
摘要：In this paper, we suggest and analyze some new higher-order iterative methods free from second derivative and used for solving of nonlinear equations. These methods based on a Householder iterative method and using predictor--corrector technique. The convergence analysis of our methods are discussed. It is established that the new methods have convergence order ten and seven. Numerical tests show that the new methods are comparable with the well-known existing methods and gives better results.
关键词：nonlinear equations, convergence analysis, higher order, iterative methods, householder iterative method;41A25, 65H05, 65K05