{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T00:08:56Z","timestamp":1648771736207},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Under some assumptions, we prove that the solution of a discrete form of the above\nproblem quenches in a finite time and estimate its numerical quenching time. We also\nshow that the numerical quenching time in certain cases converges to the real one when\nthe mesh size tends to zero. Finally, we give some numerical experiments to illustrate\nour analysis.<\/jats:p>","DOI":"10.2478\/cmam-2009-0022","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T15:49:19Z","timestamp":1366040959000},"page":"339-353","source":"Crossref","is-referenced-by-count":0,"title":["An Adaptive Scheme to Handle the Phenomenon of Quenching for a Localized Semilinear Heat Equation with Neumann Boundary Conditions"],"prefix":"10.2478","volume":"9","author":[{"given":"TH. K.","family":"Kouakou","sequence":"first","affiliation":[{"name":"1Universit\u00e9 d'Abobo-Adjam\u00e9, UFR-SFA, D\u00e9partement de Math\u00e9matiques et Informatiques, 16 BP 372 Abidjan 16, C\u00f4te d'Ivoire."}]},{"given":"TH. K.","family":"Boni","sequence":"additional","affiliation":[{"name":"2Institut National Polytechnique Houphou\u00e9t-Boigny de Yamoussoukro, BP 1093 Yamoussoukro, C\u00f4te d'Ivoire."}]},{"given":"R. K.","family":"Kouakou","sequence":"additional","affiliation":[{"name":"3Universit\u00e9 d'Abobo-Adjam\u00e9, UFR-SFA, D\u00e9partement de Math\u00e9matiques et Informatique, 01 bp 2954 Abidjan 01, C\u00f4te d'Ivoire."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p339.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2009-0022\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:30Z","timestamp":1619101290000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p339.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0022","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}