@Article{AAMM-7-1,
author = {Zhao, Jingjun and Songshu, Liu and Tao, Liu},
title = {A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {1},
pages = {31--42},
abstract = {<p style="text-align: justify;">In this paper, a Cauchy problem of two-dimensional heat conduction
equation is investigated. This is a severely ill-posed problem.
Based on the solution of Cauchy problem of two-dimensional heat
conduction equation, we propose to solve this problem by modifying
the kernel, which generates a well-posed problem. Error estimates
between the exact solution and the regularized solution are given.
We provide a numerical experiment to illustrate the main results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m12113},
url = {https://global-sci.com/article/73381/a-modified-kernel-method-for-solving-cauchy-problem-of-two-dimensional-heat-conduction-equation}
}