《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (6): 74-80.doi: 10.6040/j.issn.1671-9352.0.2020.539
• • 上一篇
王凤霞,熊向团*
WANG Feng-xia, XIONG Xiang-tuan*
摘要： 在非齐次热方程侧边值问题中,假设热源很大程度上依赖于空间和时间,不能被忽略。因为问题的解(如果存在的话)不连续依赖于数据,所以这是一个典型的不适定问题,而且绝大多数文献仅研究关于齐次的侧边值问题。通过采用Fourier变换和拟边值正则化方法对非齐次侧边值问题进行研究,得到稳定的近似解,并给出在先验参数选取和后验参数选取下稳定性的误差估计。
中图分类号:
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