{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T04:22:34Z","timestamp":1773807754021,"version":"3.50.1"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"Characteristic Innovation Projects of Ordinary Universities in Guangdong Province","award":["2020KTSCX212"],"award-info":[{"award-number":["2020KTSCX212"]}]},{"name":"Young Innovative Project of Guangdong Province Ordinary colleges and universities","award":["ky202015"],"award-info":[{"award-number":["ky202015"]}]},{"DOI":"10.13039\/501100015920","name":"Doctoral Fund Project of Guangxi University of Science and Technology","doi-asserted-by":"publisher","award":["13z07"],"award-info":[{"award-number":["13z07"]}],"id":[{"id":"10.13039\/501100015920","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/access.2021.3078750","type":"journal-article","created":{"date-parts":[[2021,5,10]],"date-time":"2021-05-10T20:23:54Z","timestamp":1620678234000},"page":"72111-72138","source":"Crossref","is-referenced-by-count":31,"title":["Analysis of Third-Order Nonlinear Multi-Singular Emden\u2013Fowler Equation by Using the LeNN-WOA-NM Algorithm"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3225-3382","authenticated-orcid":false,"given":"Yin","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0266-8974","authenticated-orcid":false,"given":"Jianqiang","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4242-0479","authenticated-orcid":false,"given":"Zhenhuan","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naveed Ahmad","family":"Khan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4040-6211","authenticated-orcid":false,"given":"Muhammad","family":"Sulaiman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2008.02.039"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2012.03.030"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/627416"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/452603"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2019.12.001"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2983823"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.06.034"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.advengsoft.2016.01.008"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/6357935"},{"key":"ref34","first-page":"201","article-title":"A novel plant propagation algorithm: Modifications and implementation","volume":"28","author":"sulaiman","year":"2016","journal-title":"Sci Int"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-016-2753-1"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2015.10.018"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.2528\/PIER07090403"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.01.037"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/268\/1\/012006"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1063\/1.530005"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(99)00223-4"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.10.084"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-019-01048-7"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.newast.2004.02.003"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0010-4655(01)00415-5"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.3010099"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2019-12561-x"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2021\/6583491","article-title":"Analysis of beam-column designs by varying axial load with internal forces and bending rigidity using a new soft computing technique","volume":"2021","author":"huang","year":"2021","journal-title":"Complexity"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-016-2400-y"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-013-0260-6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2020.04.051"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/09540091.2015.1092499"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/425648"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.newast.2012.02.003"},{"key":"ref2","author":"emden","year":"1907","journal-title":"Gaskugeln Anwendungen Der Mechanischen W&#x00E4;rmetheorie Auf Kosmologische Und Meteorologische Probleme"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/S0010-4655(03)00226-1"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.2475\/ajs.s2-50.148.57"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.2478\/s13531-013-0141-6"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.03.025"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.08.056"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1121\/1.4864793"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1504\/IJIDS.2013.053798"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2992281"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)HE.1943-5584.0000379"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.5560\/zna.2012-0047"},{"key":"ref44","first-page":"2429","article-title":"Solving two emden-fowler type equations of third order by the variational iteration method","volume":"9","author":"wazwaz","year":"2015","journal-title":"Appl Math Inf Sci"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0235829"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.3390\/jmmp4010010"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.3003253"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09427175.pdf?arnumber=9427175","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,17]],"date-time":"2021-12-17T19:56:03Z","timestamp":1639770963000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9427175\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":45,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3078750","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}