Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems

This study has been discussed a trapezoidal iterated method for estimating a single root of nonlinear problems, which arises in many scientific and engineering fields. The proposed iterative method has second order of convergence, and derived from trapezoidal rule. Several numerical examples to illu...

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Bibliographic Details
Main Authors: Umair Khalid Qureshi, Zubair Ahmed Kalhoro, Asif Ali Shaikh, Abdul Rehman Nangraj
Format: Article
Language:English
Published: University of Sindh 2018-04-01
Series:University of Sindh Journal of Information and Communication Technology
Subjects:
Online Access:http://sujo.usindh.edu.pk/index.php/USJICT/article/view/4231/2840
Description
Summary:This study has been discussed a trapezoidal iterated method for estimating a single root of nonlinear problems, which arises in many scientific and engineering fields. The proposed iterative method has second order of convergence, and derived from trapezoidal rule. Several numerical examples to illustrate the efficiency of proposed method by Comparison with the famous second order convergence Newton Raphson Method. C++ and EXCELL are used to analyze the results and graphical representations of proposed method. Henceforth, it has been observed from the outcomes and assessment of trapezoidal iterative method with the Newton Raphson Method that the trapezoidal second order method is performance healthier than existing method.
ISSN:2521-5582
2523-1235