{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:02:45Z","timestamp":1760241765561,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T00:00:00Z","timestamp":1537228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper investigates the boundary value in the heat conduction problem by a variational iteration method. Applying the iteration method, a sequence of convergent functions is constructed, the limit approximates the exact solution of the heat conduction equation in a few iterations using only the initial condition. This method does not require discretization of the variables. Numerical results show that this method is quite simple and straightforward for models that are currently under research.<\/jats:p>","DOI":"10.3390\/sym10090409","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T11:52:29Z","timestamp":1537271549000},"page":"409","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Determining An Unknown Boundary Condition by An Iteration Method"],"prefix":"10.3390","volume":"10","author":[{"given":"Dejian","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China"},{"name":"School of Science, Hainan Tropical Ocean University, Sanya 572022, China"}]},{"given":"Yanqing","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China"},{"name":"School of Science, Hainan Tropical Ocean University, Sanya 572022, China"}]},{"given":"Donghe","family":"Pei","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,9,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/0029-5493(68)90058-7","article-title":"Surface Heat Flux Determination Using an Integral Method","volume":"7","author":"Beck","year":"1968","journal-title":"Nucl. 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