{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T15:14:44Z","timestamp":1759936484953},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p> \n\t\t\t\tIn this paper, we utilize a matrix formulation for the heat equation\n\t\t\t\twith nonlocal boundary conditions. We give details of the method and\n\t\t\t\tverify the existence of a solution for the given equation under a\n\t\t\t\tnew suitable condition. A simple and efficient algorithm is\n\t\t\t\tpresented for the numerical results illustrating the accuracy of the\n\t\t\t\tmethod.\n\t\t\t<\/jats:p>","DOI":"10.2478\/cmam-2012-0006","type":"journal-article","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T11:28:42Z","timestamp":1332415722000},"page":"92-107","source":"Crossref","is-referenced-by-count":5,"title":["An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions"],"prefix":"10.2478","volume":"12","author":[{"given":"Sedaghat","family":"Shahmorad","sequence":"first","affiliation":[{"name":"1Department of Applied Mathematics, University of Tabriz"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdollah","family":"Borhanifar","sequence":"additional","affiliation":[{"name":"2Department of Mathematics, University of Mohaghegh Ardabili"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Babak","family":"Soltanalizadeh","sequence":"additional","affiliation":[{"name":"3Young Researchers Club, Sarab Brach of Islamic Azad University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/1\/article-p92.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2012-0006\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:22:18Z","timestamp":1619101338000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/1\/article-p92.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2012-0006","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}