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 ,
Full TextAbstract
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 examples
@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},
}
%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
