![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
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 Γ-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.
Acknowledgements
The authors would like to thank the editor and the referees for their valuable comments and suggestions which helped to improve the results of this paper. Subsidized by the NSF of China (No. 10971166, No. 10901131), the National Basic Research Program (No. 2005CB321703), the China Postdoctoral Science Foundation (No. 20070421155, No. 200801448) and Scientific Research Program of the Higher Education Institution of Xinjiang (No. XJEDU2007S07, No. XJEDU2007I02).