Author:
Zhao Jingjun,Liu Songshu,Liu Tao
Abstract
AbstractIn 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.
Subject
Applied Mathematics,Mechanical Engineering
Cited by
6 articles.
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