A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation

被引：7
|
作者：
Zhao, Jingjun [1 ]
Liu, Songshu [1 ]
Liu, Tao [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2015年 / 7卷 / 01期
基金：
中国国家自然科学基金; 黑龙江省自然科学基金;
关键词：
Ill-posed problem; Cauchy problem; modified kernel method;
D O I：
10.4208/aamm.12-m12113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：31 / 42
页数：12
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