A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems
In view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. This paper presents an invasive weed optimization (IWO) algorithm which has population diversity with the heuristic global search of differential evolu...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/757391 |
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| _version_ | 1832554135587651584 |
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| author | Yongquan Zhou Qifang Luo Huan Chen |
| author_facet | Yongquan Zhou Qifang Luo Huan Chen |
| author_sort | Yongquan Zhou |
| collection | DOAJ |
| description | In view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. This paper presents an invasive weed optimization (IWO) algorithm which has population diversity with the heuristic global search of differential evolution (DE) algorithm. In the iterative process, the global exploration ability of invasive weed optimization algorithm provides effective search area for differential evolution; at the same time, the heuristic search ability of differential evolution algorithm provides a reliable guide for invasive weed optimization. Based on the test of several typical nonlinear equations and a circle packing problem, the results show that the differential evolution invasive weed optimization (DEIWO) algorithm has a higher accuracy and speed of convergence, which is an efficient and feasible algorithm for solving nonlinear systems of equations. |
| format | Article |
| id | doaj-art-1d216bca736c47b5b8cad9f01fc916f6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1d216bca736c47b5b8cad9f01fc916f62025-02-03T05:52:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/757391757391A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations SystemsYongquan Zhou0Qifang Luo1Huan Chen2College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaCollege of Information Science and Engineering, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaCollege of Information Science and Engineering, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaIn view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. This paper presents an invasive weed optimization (IWO) algorithm which has population diversity with the heuristic global search of differential evolution (DE) algorithm. In the iterative process, the global exploration ability of invasive weed optimization algorithm provides effective search area for differential evolution; at the same time, the heuristic search ability of differential evolution algorithm provides a reliable guide for invasive weed optimization. Based on the test of several typical nonlinear equations and a circle packing problem, the results show that the differential evolution invasive weed optimization (DEIWO) algorithm has a higher accuracy and speed of convergence, which is an efficient and feasible algorithm for solving nonlinear systems of equations.http://dx.doi.org/10.1155/2013/757391 |
| spellingShingle | Yongquan Zhou Qifang Luo Huan Chen A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems Journal of Applied Mathematics |
| title | A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems |
| title_full | A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems |
| title_fullStr | A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems |
| title_full_unstemmed | A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems |
| title_short | A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems |
| title_sort | novel differential evolution invasive weed optimization algorithm for solving nonlinear equations systems |
| url | http://dx.doi.org/10.1155/2013/757391 |
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