{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:42:43Z","timestamp":1777704163419,"version":"3.51.4"},"reference-count":16,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2019,12,30]],"date-time":"2019-12-30T00:00:00Z","timestamp":1577664000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,3,4]]},"abstract":"<jats:p>\u00a0The problem of solving linear and nonlinear system of equations is a largely useful issue of significant importance such as that it is presented on real-time applications. Different numerical methods such as fixed-point, Newton Raphson, bisection and secant methods, and or others, namely; evolutionary and computational methods are used to solve nonlinear system under optimizing the space and time complexity. Genetic Algorithm (GA) proved to be an efficient soft computing approach to solve many linear\/non-linear system of equations. In this article, a comparison between different GAs and numerical methods for solving a system of equations are introduced. From the results, a novel approach is introduced which is inspired by using a modified GA to get the optimistic solution for the system which has no numerical solution and verified with the highest performance measures in solving complicated problems.<\/jats:p>","DOI":"10.3233\/jifs-179572","type":"journal-article","created":{"date-parts":[[2019,12,31]],"date-time":"2019-12-31T07:39:11Z","timestamp":1577777951000},"page":"2867-2872","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Genetic algorithm and numerical methods for solving linear and nonlinear system of equations: a comparative study"],"prefix":"10.1177","volume":"38","author":[{"given":"Osama Farouk","family":"Hassan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Damanhour University, Beheira, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amani","family":"Jamal","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sayed","family":"Abdel-Khalek","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt"},{"name":"Department of Mathematics, Faculty of Science, Taif University, Taif, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,12,30]]},"reference":[{"key":"e_1_3_2_2_2","volume-title":"European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning","author":"Madalina M.D.","unstructured":"MadalinaM.D., Multi-objective optimization perspectives on reinforcement learning algorithms using reward vectors, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning Bruges (Belgium), 22\u201324 April 2015, publ., ISBN 978-287587014-8."},{"key":"e_1_3_2_3_2","unstructured":"MichaelJ.H. grasp-based heuristics for continuous global optimization problems Ph.D. Thesis University of Florida 2006."},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-017-1609-8"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/ICCOINS.2016.7783234"},{"key":"e_1_3_2_6_2","first-page":"1","article-title":"A study on genetic algorithm and its applications","volume":"4","author":"Haldurai L.","year":"2016","unstructured":"HalduraiL., MadhubalaT. and RajalakshmiR., A study on genetic algorithm and its applications, International Journal of Computer Sciences and Engineering 4 (2016), 1\u201314.","journal-title":"International Journal of Computer Sciences and Engineering"},{"key":"e_1_3_2_7_2","first-page":"252","article-title":"Non-dominated sorting genetic algorithm-II \u2013 A Succinct Survey, (IJCSIT)","volume":"6","author":"Golchha A.","year":"2015","unstructured":"GolchhaA. and QureshiS.G., Non-dominated sorting genetic algorithm-II \u2013 A Succinct Survey, (IJCSIT), International Journal of Computer Science and Information Technologies 6 (2015), 252\u2013255.","journal-title":"International Journal of Computer Science and Information Technologies"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/9270802"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.11.039"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.5539\/cis.v4n2p39"},{"key":"e_1_3_2_11_2","first-page":"52","article-title":"Solving EED problem by fuzzified multi objective simulated annealing","volume":"3","author":"Shenava S.J.","year":"2015","unstructured":"ShenavaS.J., NoruziA. and MousazadehH., Solving EED problem by fuzzified multi objective simulated annealing, Applied mathematics in Engineering, Management and Technology 3 (2015), 52\u201366.","journal-title":"Applied mathematics in Engineering, Management and Technology"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.09.029"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.17485\/ijst\/2019\/v12i1\/139577"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.3390\/a8040895"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-014-0759-4"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9585-7"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2008.918599"}],"container-title":["Journal of Intelligent &amp; 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