{"title":"A transient one-dimensional inverse heat conduction problem with overspecified data at one boundary","authors":"L.C. Chow, K.C. Woo, D.M. Green","doi":"10.1016/0094-4548(82)90001-7","DOIUrl":null,"url":null,"abstract":"<div><p>For one-dimensional transient heat conduction, a procedure is developed to estimate the temperature at one boundary when both the temperature and heat flux are measured at the other boundary. The Laplace transform technique is employed and the inverse Laplace transform is carried out by using a novel technique. Exact and noisy data are used to infer the unknown boundary temperature. It is shown that the present procedure is accurate and also stable to measurement errors.</p></div>","PeriodicalId":100875,"journal":{"name":"Letters in Heat and Mass Transfer","volume":"9 5","pages":"Pages 325-332"},"PeriodicalIF":0.0000,"publicationDate":"1982-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0094-4548(82)90001-7","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Heat and Mass Transfer","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0094454882900017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
For one-dimensional transient heat conduction, a procedure is developed to estimate the temperature at one boundary when both the temperature and heat flux are measured at the other boundary. The Laplace transform technique is employed and the inverse Laplace transform is carried out by using a novel technique. Exact and noisy data are used to infer the unknown boundary temperature. It is shown that the present procedure is accurate and also stable to measurement errors.
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