International Journal of Nonlinear Science, Volume (6), No (1), Year (2008-1) , Pages (29-33)

Title : ( A family of predictor-corrector methods based on weight combination of quadratures for solving nonlinear equations )

Authors: Ali Reza Soheili , S. A. Ahmadian , J. Nagheipoor ,

Citation: BibTeX | EndNote

In this paper, we propose and analyze some new predictor-corrector methods for solving nonlinear equations using the weight combination of mid-point, Trapezoidal and Simpson quadrature formulas. We prove that these new methods are better than the newton method. Several examples are given to illustrate the efficiency of the proposed methods.

Keywords

, predictor, corrector methods; convergence; quadrature formulas; nonlinear equations; numerical
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@article{paperid:1016066,
author = {Soheili, Ali Reza and S. A. Ahmadian and J. Nagheipoor},
title = {A family of predictor-corrector methods based on weight combination of quadratures for solving nonlinear equations},
journal = {International Journal of Nonlinear Science},
year = {2008},
volume = {6},
number = {1},
month = {January},
issn = {1749-3889},
pages = {29--33},
numpages = {4},
keywords = {predictor-corrector methods; convergence; quadrature formulas; nonlinear equations; numerical examples},
}

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%0 Journal Article
%T A family of predictor-corrector methods based on weight combination of quadratures for solving nonlinear equations
%A Soheili, Ali Reza
%A S. A. Ahmadian
%A J. Nagheipoor
%J International Journal of Nonlinear Science
%@ 1749-3889
%D 2008

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