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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Format: | Article |
Language: | English |
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University of Sindh
2018-04-01
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Series: | University of Sindh Journal of Information and Communication Technology |
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Online Access: | http://sujo.usindh.edu.pk/index.php/USJICT/article/view/4231/2840 |
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author | Umair Khalid Qureshi Zubair Ahmed Kalhoro Asif Ali Shaikh Abdul Rehman Nangraj |
author_facet | Umair Khalid Qureshi Zubair Ahmed Kalhoro Asif Ali Shaikh Abdul Rehman Nangraj |
author_sort | Umair Khalid Qureshi |
collection | DOAJ |
description | 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. |
first_indexed | 2024-12-24T13:09:41Z |
format | Article |
id | doaj.art-93dcb66e65ba4fc9b2946f814ed8d4b6 |
institution | Directory Open Access Journal |
issn | 2521-5582 2523-1235 |
language | English |
last_indexed | 2024-12-24T13:09:41Z |
publishDate | 2018-04-01 |
publisher | University of Sindh |
record_format | Article |
series | University of Sindh Journal of Information and Communication Technology |
spelling | doaj.art-93dcb66e65ba4fc9b2946f814ed8d4b62022-12-21T16:53:55ZengUniversity of SindhUniversity of Sindh Journal of Information and Communication Technology2521-55822523-12352018-04-0122111114Trapezoidal Second Order Convergence Method for Solving Nonlinear ProblemsUmair Khalid Qureshi0Zubair Ahmed Kalhoro1Asif Ali Shaikh2Abdul Rehman Nangraj3Department of Basic Science & Related Studies, Mehran University of Engineering and technology, PakistanInstitute Mathematics and Computer Science, University of Sindh Jamshoro, PakistanDepartment of Basic Science & Related Studies, Mehran University of Engineering and technology, PakistanInstitute Mathematics and Computer Science, University of Sindh Jamshoro, PakistanThis 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.http://sujo.usindh.edu.pk/index.php/USJICT/article/view/4231/2840non-linear problemstrapezoidal ruleorder of convergenceabsolute percentage erroraccuracy. |
spellingShingle | Umair Khalid Qureshi Zubair Ahmed Kalhoro Asif Ali Shaikh Abdul Rehman Nangraj Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems University of Sindh Journal of Information and Communication Technology non-linear problems trapezoidal rule order of convergence absolute percentage error accuracy. |
title | Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems |
title_full | Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems |
title_fullStr | Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems |
title_full_unstemmed | Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems |
title_short | Trapezoidal Second Order Convergence Method for Solving Nonlinear Problems |
title_sort | trapezoidal second order convergence method for solving nonlinear problems |
topic | non-linear problems trapezoidal rule order of convergence absolute percentage error accuracy. |
url | http://sujo.usindh.edu.pk/index.php/USJICT/article/view/4231/2840 |
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