{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T01:50:29Z","timestamp":1787017829390,"version":"build-2736575974"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,1,30]],"date-time":"2020-01-30T00:00:00Z","timestamp":1580342400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004054","name":"King Abdulaziz University","doi-asserted-by":"publisher","award":["D-349-130-1441"],"award-info":[{"award-number":["D-349-130-1441"]}],"id":[{"id":"10.13039\/501100004054","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,1,30]]},"abstract":"\n In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations. For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear equations preserving the same convergence order. Moreover, by adding one more additional step, we obtain minimum 5th-order convergence for every value of a free parameter,\n \n \n \u03b8<\/mml:mi>\n \u2208<\/mml:mo>\n \u211d<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n , and for\n \n \n \u03b8<\/mml:mi>\n =<\/mml:mo>\n \u2212<\/mml:mo>\n 1<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n , the method reaches maximum 6-order convergence. We present an extensive convergence analysis of our scheme. The analytical discussion of the work is upheld by performing numerical experiments on some applied science problems and a large system of nonlinear equations. Furthermore, numerical results demonstrate the validity and reliability of the suggested methods.\n <\/jats:p>","DOI":"10.1155\/2020\/1706841","type":"journal-article","created":{"date-parts":[[2020,2,20]],"date-time":"2020-02-20T07:58:23Z","timestamp":1582185503000},"page":"1-11","source":"Crossref","is-referenced-by-count":15,"title":["A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1505-8945","authenticated-orcid":true,"given":"Ramandeep","family":"Behl","sequence":"first","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2869-4334","authenticated-orcid":true,"given":"Eulalia","family":"Mart\u00ednez","sequence":"additional","affiliation":[{"name":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universitat Polit\u00e9cnica de Val\u00e9ncia, Val\u00e9ncia, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-190207"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2009.2029569"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-171947"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-190216"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-009-9342-8"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/tsmca.2008.918599"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.12.017"},{"key":"8","volume-title":"A collection of nonlinear model problems","volume":"26","year":"1990"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.08.003"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-009-9359-z"},{"issue":"105","key":"11","first-page":"133","volume":"57","year":"2014","journal-title":"Bulletin Math\u00e9matique"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-014-0432-z"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9597-3"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9585-7"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.07.024"},{"key":"16","year":"1970"},{"key":"17","year":"2008"},{"key":"18","year":"1964"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.05.181"},{"key":"20","volume-title":"Nondiscrete induction and iterative processes","volume":"103","year":"1984"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.10.040"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.03.120"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.11.063"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2014.946412"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-013-0097-1"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.04.038"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.06.010"},{"key":"28","year":"2012"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1137\/0712034"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1007\/bf00373799"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2012.06.005"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1706841.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1706841.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1706841.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,20]],"date-time":"2020-02-20T07:58:26Z","timestamp":1582185506000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1706841\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,30]]},"references-count":31,"alternative-id":["1706841","1706841"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1706841","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1,30]]}}}