{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T06:59:25Z","timestamp":1760597965654},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"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":[[2010]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p> In this paper, under certain conditions, we show that the solution of the\nsemidiscrete form of a semilinear heat equation with a variable reaction is quenched\nin a finite time and estimate its semidiscrete quenching time. We also show that the\nsemidiscrete quenching time converges to the continuous one when the mesh size goes\nto zero. In the same way, an analogous study has been investigated taking into account\nthe discrete form of the above problem. Finally, we present some computational results.<\/jats:p>","DOI":"10.2478\/cmam-2010-0005","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T11:52:43Z","timestamp":1591271563000},"page":"95-108","source":"Crossref","is-referenced-by-count":1,"title":["Quenching of Numerical Solutions for Some Semilinear Heat Equations with a Variable Reaction"],"prefix":"10.2478","volume":"10","author":[{"given":"F.K.","family":"N'Gohisse","sequence":"first","affiliation":[{"name":"1Universit\u00e9 d'Abobo-Adjam\u00e9, UFR-SFA, D\u00e9partement de Math\u00e9matiques et Informatiques, 01 BP 1003 Abidjan 01, C\u00f3te d'Ivoire."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/1\/article-p95.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2010-0005\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:35Z","timestamp":1619101295000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/1\/article-p95.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2010-0005","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}