{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T07:29:44Z","timestamp":1759390184429,"version":"3.37.3"},"reference-count":10,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,8,28]],"date-time":"2013-08-28T00:00:00Z","timestamp":1377648000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Numerical Analysis"],"published-print":{"date-parts":[[2013,8,28]]},"abstract":"<jats:p>In this paper, we propose an iterative method for solving a beam problem which is described by a nonlinear fourth-order equation with nonlinear boundary conditions. The method reduces this nonlinear fourth-order problem to a sequence of linear second-order problems with linear boundary conditions. The convergence of the method is proved, and some numerical examples demonstrate the efficiency of the method.<\/jats:p>","DOI":"10.1155\/2013\/470258","type":"journal-article","created":{"date-parts":[[2013,8,28]],"date-time":"2013-08-28T21:06:37Z","timestamp":1377723997000},"page":"1-5","source":"Crossref","is-referenced-by-count":5,"title":["Iterative Method for Solving a Beam Equation with Nonlinear Boundary Conditions"],"prefix":"10.1155","volume":"2013","author":[{"given":"Quang A.","family":"Dang","sequence":"first","affiliation":[{"name":"Institute of Information Technology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi 10000, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2915-5589","authenticated-orcid":true,"given":"Nguyen","family":"Thanh Huong","sequence":"additional","affiliation":[{"name":"College of Science, Thai Nguyen University, Thai Nguyen City 23000, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"2001","key":"1"},{"issue":"1","key":"2","first-page":"1520","volume":"27","year":"2009","journal-title":"Boletim da Sociedade Paranaense de Matem\u00e1tica"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.04.037"},{"issue":"69-72","key":"4","first-page":"3467","volume":"4","year":"2010","journal-title":"Applied Mathematical Sciences"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.10.016"},{"issue":"5","key":"6","doi-asserted-by":"crossref","first-page":"683","DOI":"10.4208\/aamm.09-m0925","volume":"1","year":"2009","journal-title":"The Advances in Applied Mathematics and Mechanics"},{"year":"2001","key":"7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.08.088"},{"journal-title":"Discrete and Continuous Dynamical Systems","first-page":"694","year":"2007","key":"9"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2010.04.011"}],"container-title":["Advances in Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2013\/470258.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2013\/470258.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2013\/470258.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,10]],"date-time":"2020-12-10T13:03:44Z","timestamp":1607605424000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ana\/2013\/470258\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,28]]},"references-count":10,"alternative-id":["470258","470258"],"URL":"https:\/\/doi.org\/10.1155\/2013\/470258","relation":{},"ISSN":["1687-9562","1687-9570"],"issn-type":[{"type":"print","value":"1687-9562"},{"type":"electronic","value":"1687-9570"}],"subject":[],"published":{"date-parts":[[2013,8,28]]}}}