کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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468907 | 698265 | 2011 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Third-order family of methods in Banach spaces Third-order family of methods in Banach spaces](/preview/png/468907.png)
Recently, Parida and Gupta [P.K. Parida, D.K. Gupta, Recurrence relations for a Newton-like method in Banach spaces, J. Comput. Appl. Math. 206 (2007) 873–877] used Rall’s recurrence relation approach (from 1961) to approximate roots of nonlinear equations, by developing several methods, the latest of which is free of second derivative and it is of third order. In this paper, we use an idea of Kou and Li [J.-S. Kou, Y.-T. Li, Modified Chebyshev’s method free from second derivative for non-linear equations, Appl. Math. Comput. 187 (2007) 1027–1032] and modify the approach of Parida and Gupta, obtaining yet another third-order method to approximate a solution of a nonlinear equation in a Banach space. We give several applications to our method.
Journal: Computers & Mathematics with Applications - Volume 61, Issue 6, March 2011, Pages 1665–1675