{"title":"层间不完全接触多层介质中热方程解的构造","authors":"V. Kalmanovich","doi":"10.29039/1729-3901-2021-20-2-43-52","DOIUrl":null,"url":null,"abstract":"The paper considers the solution of a one-dimensional homogeneous equation of heat conduction in a multilayer. In this paper, the orthogonality of the obtained eigenfunctions is proved.","PeriodicalId":246257,"journal":{"name":"TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the construction of solution of the heat equation in a multilayer medium with imperfect contact between the layers\",\"authors\":\"V. Kalmanovich\",\"doi\":\"10.29039/1729-3901-2021-20-2-43-52\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers the solution of a one-dimensional homogeneous equation of heat conduction in a multilayer. In this paper, the orthogonality of the obtained eigenfunctions is proved.\",\"PeriodicalId\":246257,\"journal\":{\"name\":\"TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29039/1729-3901-2021-20-2-43-52\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29039/1729-3901-2021-20-2-43-52","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the construction of solution of the heat equation in a multilayer medium with imperfect contact between the layers
The paper considers the solution of a one-dimensional homogeneous equation of heat conduction in a multilayer. In this paper, the orthogonality of the obtained eigenfunctions is proved.