{"title":"具有非线性电导率项的抛物型偏微分方程的反问题","authors":"A. Zakeri, Q. Jannati","doi":"10.3814/2009/468570","DOIUrl":null,"url":null,"abstract":"We consider an inverse problem for partial differential equation with nonlinear conductivity \nterm in one-dimensional space within a finite interval. In the considered problem, a temperature \nhistory is unknown in a boundary of domain. The homotopy perturbation technique is \nused. Moreover, we have presented a numerical example.","PeriodicalId":169134,"journal":{"name":"Scholarly Research Exchange","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"An Inverse Problem for Parabolic Partial Differential Equations with Nonlinear Conductivity Term\",\"authors\":\"A. Zakeri, Q. Jannati\",\"doi\":\"10.3814/2009/468570\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider an inverse problem for partial differential equation with nonlinear conductivity \\nterm in one-dimensional space within a finite interval. In the considered problem, a temperature \\nhistory is unknown in a boundary of domain. The homotopy perturbation technique is \\nused. Moreover, we have presented a numerical example.\",\"PeriodicalId\":169134,\"journal\":{\"name\":\"Scholarly Research Exchange\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scholarly Research Exchange\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3814/2009/468570\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scholarly Research Exchange","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3814/2009/468570","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Inverse Problem for Parabolic Partial Differential Equations with Nonlinear Conductivity Term
We consider an inverse problem for partial differential equation with nonlinear conductivity
term in one-dimensional space within a finite interval. In the considered problem, a temperature
history is unknown in a boundary of domain. The homotopy perturbation technique is
used. Moreover, we have presented a numerical example.
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