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非标准热传导方程的热源识别反问题
  • 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]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）
作者： 杨帆[1], 万诗敏[2], 李敦刚[1]
关键词： 对流项, 热源, 正则化, 简化的Tikhonov正则化, convective term, heat source, regularization, simplified Tikhonov s regularization
中文摘要：

探论一类含对流项的热传导方程的只含有空间变量的热源识别反问题.这类问题是不适定的,即问题的解不连续依赖于测量数据.利用简化的Tikhonov正则化方法,得到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：

A class of inverse problems of identification of heat source dependent only on spatial variables was discussed in heat equation with convective term. This problem was ill-posed,i.e.,the solution didn t depend continuously on the tested data.A regular approximate solution of the inverse problem was obtained with simplified Tikhonov regularization method.Furthermore,a Holder-type error estimate was given between the regular solution and exact solution.

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