{"created":"2023-06-19T10:35:02.742629+00:00","id":929,"links":{},"metadata":{"_buckets":{"deposit":"52832a46-0f58-4e91-99a2-16dc26136c29"},"_deposit":{"created_by":14,"id":"929","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"929"},"status":"published"},"_oai":{"id":"oai:ous.repo.nii.ac.jp:00000929","sets":["296:314:325"]},"author_link":[],"item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1992-03-20","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"34","bibliographicPageStart":"25","bibliographicVolumeNumber":"27","bibliographic_titles":[{"bibliographic_title":"岡山理科大学紀要. A, 自然科学","bibliographic_titleLang":"ja"},{"bibliographic_title":"Bulletin of Okayama University of Science. A, Natural Sciences","bibliographic_titleLang":"en"}]}]},"item_1_creator_6":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"井口, 章典","creatorNameLang":"ja"},{"creatorName":"イグチ, アキノリ","creatorNameLang":"ja-Kana"},{"creatorName":"Iguchi, Akinori","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"榊原, 道夫","creatorNameLang":"ja"},{"creatorName":"サカキハラ, ミチオ","creatorNameLang":"ja-Kana"},{"creatorName":"Sakakihara, Michio","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"仁木, 滉","creatorNameLang":"ja"},{"creatorName":"ニキ, ヒロシ","creatorNameLang":"ja-Kana"},{"creatorName":"Niki, Hiroshi","creatorNameLang":"en"}]}]},"item_1_description_1":{"attribute_name":"ページ属性","attribute_value_mlt":[{"subitem_description":"P(論文)","subitem_description_type":"Other"}]},"item_1_description_12":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"Heat polynomials have been applied to study the analytic solution of the initial value problem of the heat equation. Since the polynomials satisfy the heat equation the approximate solution of the initial value problem by using the polynomials become an interpolation problem. Therefore the approximate solution is determined from the given initial data since the solution method involves no integration and no discretization with respect to the time-space domain. In order to apply the approach to an initial-boundary value problem, we present an approximation method with Chebyshev heat polynomials which are proposed in this paper. A recurrence formula to generate Chebyshev heat polynomials is presented. Moreover we show that the present method give accurate approximate solutions by numerical experiments.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1_source_id_13":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033244","subitem_source_identifier_type":"NCID"}]},"item_1_text_10":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Graduate School of Science, Okayama University of Science"},{"subitem_text_language":"en","subitem_text_value":"Department of Applied Mathematics, Okayama University of Science"},{"subitem_text_language":"en","subitem_text_value":"Department of Applied Mathematics, Okayama University of Science"}]},"item_1_text_9":{"attribute_name":"著者所属(日)","attribute_value_mlt":[{"subitem_text_language":"ja","subitem_text_value":"岡山理科大学大学院理学研究科"},{"subitem_text_language":"ja","subitem_text_value":"岡山理科大学理学部応用数学科"},{"subitem_text_language":"ja","subitem_text_value":"岡山理科大学理学部応用数学科"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"1992-03-20"}],"displaytype":"detail","filename":"KJ00000063482.pdf","filesize":[{"value":"318.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"url":"https://ous.repo.nii.ac.jp/record/929/files/KJ00000063482.pdf"},"version_id":"66a67005-b8d4-4811-a53f-a58944410874"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"熱多項式を用いた境界法による熱方程式の解","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"熱多項式を用いた境界法による熱方程式の解","subitem_title_language":"ja"},{"subitem_title":"Approximate Solution of Heat Equation with Chebyshev Heat Polynomial","subitem_title_language":"en"},{"subitem_title":"ネツ タコウシキ オ モチイタ キョウカイホウ ニヨル ネツ ホウテイシキ ノ カイ","subitem_title_language":"ja-Kana"}]},"item_type_id":"1","owner":"14","path":["325"],"pubdate":{"attribute_name":"PubDate","attribute_value":"1992-03-20"},"publish_date":"1992-03-20","publish_status":"0","recid":"929","relation_version_is_last":true,"title":["熱多項式を用いた境界法による熱方程式の解"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-09-27T06:29:57.650083+00:00"}