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抛物方程热源识别的中心差分正则化方法
  • 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]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： 杨帆[1], 郭亨贞[2], 万诗敏[3], 李晓晓[1]
关键词： 热源, 正则化, 抛物方程, 中心差分, heat source, regularization, parabolic equation, central difference
中文摘要：

探讨一类抛物方程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．利用中心差分正则化方法，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Hoelder型的误差估计．数值实验表明中心差分正则化方法对于这种热源识别是非常有效的．

英文摘要：

The inverse problem of heat source identification of a class of parabolic equations with spatial variable alone was discussed. This problem was ill-posed, i.e. the solution does not depend continuously on the data measured. A regularization approximate solution of the inverse problem was obtained by using central difference regularization method and it was given that there was HOlder type stability estimate between the regularization solution and exact solution. Several numerical examples showed that the central difference regularization method would work effectively for identifying the heat source.

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