A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution
In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed. For any method constructed from the developed class of methods, it requires three s...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2023-06-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_42598_05679a0dacba9c006c63d96ffe2d34e3.pdf |
| _version_ | 1797821843773587456 |
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| author | O. Ogbereyivwe O. Izevbizua |
| author_facet | O. Ogbereyivwe O. Izevbizua |
| author_sort | O. Ogbereyivwe |
| collection | DOAJ |
| description | In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed. For any method constructed from the developed class of methods, it requires three separate functions evaluation in a complete iteration cycle that is of order four convergence. Also, some well-known existing methods are typical members of the new class of methods. The numerical test on some concrete methods derived from the class of methods indicates that they are effective and competitive when employed in solving a nonlinear equation. |
| first_indexed | 2024-03-13T09:58:51Z |
| format | Article |
| id | doaj.art-914c08cd1b0944b79f7a88b668fa55e3 |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-03-13T09:58:51Z |
| publishDate | 2023-06-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-914c08cd1b0944b79f7a88b668fa55e32023-05-23T10:42:00ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692023-06-0113215716910.22067/ijnao.2022.74901.109542598A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solutionO. Ogbereyivwe0O. Izevbizua1Department of Mathematics and Statistics, Delta State University of Science and Technology, Delta State, Nigeria.Department of Mathematics, University of Benin, Benin City, Nigeria.In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed. For any method constructed from the developed class of methods, it requires three separate functions evaluation in a complete iteration cycle that is of order four convergence. Also, some well-known existing methods are typical members of the new class of methods. The numerical test on some concrete methods derived from the class of methods indicates that they are effective and competitive when employed in solving a nonlinear equation.https://ijnao.um.ac.ir/article_42598_05679a0dacba9c006c63d96ffe2d34e3.pdfnewton methoditerative methodpower seriesweight function |
| spellingShingle | O. Ogbereyivwe O. Izevbizua A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution Iranian Journal of Numerical Analysis and Optimization newton method iterative method power series weight function |
| title | A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution |
| title_full | A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution |
| title_fullStr | A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution |
| title_full_unstemmed | A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution |
| title_short | A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution |
| title_sort | three free parameter class of power series based iterative method for approximation of nonlinear equations solution |
| topic | newton method iterative method power series weight function |
| url | https://ijnao.um.ac.ir/article_42598_05679a0dacba9c006c63d96ffe2d34e3.pdf |
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