New predictor-corrector methods of second-order for solving nonlinear equations

被引：5
|
作者：
Wang, Kun [2 ]
Feng, Xinlong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 02期
基金：
中国博士后科学基金;
关键词：
nonlinear equations; predictor-corrector methods; regula falsi method; Gamma-fuzzy number; quadratic convergence; REGULA FALSI METHOD; ITERATIVE METHODS; QUADRATIC CONVERGENCE; DIAMETER; FAMILY; POINT;
D O I：
10.1080/00207160903443748
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two predictor-corrector methods are proposed for solving nonlinear equations by combining the fuzzy parameterized method with the exponential iterative method and the regula falsi method. The parameter values are determined by a Gamma-fuzzy number in the iterative procedure. These two methods present attractive features such as being independent of the initial values, or being adaptive for the iterative formulas. They are verified to also be quadratically convergent. Compared with the previously well-known methods, numerical experiments show that new predictor-corrector methods are effective.
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页码：296 / 313
页数：18
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