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含对流项抛物方程的热源识别的拟逆正则化方法
  • 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]天津城市建设学院基础学科部,天津300384
  • 相关基金：基金项目：国家自然科学基金（10671085） 致谢：本文得到兰州理工大学校基金（92111）和兰州理工大学校基金（92104）的资助,在此表示感谢.
作者： 杨帆[1], 万诗敏[2], 李敦刚[1]
关键词： 热源, 正则化, 拟逆, heat source, regularization, quasi-reversibility
中文摘要：

利用拟逆正则化方法对含对流项的一维抛物方程的热源进行识别,得到该反问题的一个正则近似解,并且给出正则解和精确解之间具有Holder型的误差估计.

英文摘要：

By using quasi-reversible regularization method,the heat source in the parabolic equation with convection term was identified.The approximate regular solution of the inverse problem was obtained and it was indicated that the Hlder type estimate of the error between the regular solution and the exact solution was given.

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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