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一类对流-扩散方程热源识别反问题
  • ISSN号：1673-5196
  • 期刊名称：《兰州理工大学学报》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]兰州理工大学理学院,甘肃兰州730050, [2]兰州城市学院教育学院,甘肃兰州730070, [3]天津城市建设学院基础学科部,天津300384
  • 相关基金：国家自然科学基金（10671085）
作者： 李晓晓[1], 郭亨贞[2], 万诗敏[3], 汪训洋[1], 杨帆[1]
关键词： 热源, 反问题, 对流-扩散方程, 截断方法, heat source inverse problem convection-diffusion equation truncation method
中文摘要：

根据测量数据，利用分离变量法，得到未知源函数和测量数据之间的关系式．这类问题称为未知源识别反问题，是典型的不适定问题．利用截断正则化方法，得到问题的一个正测近似解，并且给出正则解和精确解之间具有Hoer型的误差估计．

英文摘要：

According to measured data, the relationship between the unknown source function and meas- ured data was obtained by using variable separation method. This problem was called the inverse problem of identification of unknown source and was a typical ill-posed problem. A regularized approximate solu- tion of the inverse problem was obtained by using truncated regularization method and the estimation of Holer-type error of regularized solution from exact one was given,also.

同期刊论文项目
非经典逆热传导问题的正则化理论
期刊论文 60
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期刊信息
  • 《兰州理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教委
  • 主办单位:兰州理工大学
  • 主编：李有堂
  • 地址：甘肃省兰州市兰工坪路287号
  • 邮编：730050
  • 邮箱：journal@lut.cn
  • 电话：0931-2756301
  • 国际标准刊号：ISSN：1673-5196
  • 国内统一刊号：ISSN：62-1081/T
  • 邮发代号:54-72
  • 获奖情况:
  • 甘肃高等校优秀学术期刊,全国优秀高校自然科学学报及教育部优秀科技期刊评...,第二届国家期刊奖百种重点期刊
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  • 被引量:6651