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.

引用

页码：31 / 42

页数：12

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