期刊
ADVANCES IN COMPUTATIONAL MATHEMATICS
卷 46, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/s10444-020-09796-w
关键词
Two-dimensional sideways heat equation; Kernel regularization method; Stable estimate; Holder-type error estimates
资金
- Institute for Computational Science and Technology (ICST), Ho Chi Minh City
- Department of Science and Technology, Ho Chi Minh City [456/QD-KHCNTT]
We investigate an inverse and ill-posed problem for the two-dimensional inhomogeneous heat equation in the presence of a general source term. The goal here consists of recovering not only the temperature distribution but also the thermal flux from the measure data. With the appearance of the general source term, this model gets far worse than its homogeneous counterpart. Based on an analysis of the instability caused in the solution, we propose a kernel regularization scheme to stabilize the investigated problem. The Holder-type convergence estimates are achieved under some appropriate a priori assumptions. We further numerically demonstrate the theoretical results by proposing a robust algorithm based on the 2-D fast Fourier transform. The numerical outputs exemplify the feasibility and efficiency of the proposed method.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据