Numerical Solution of the Retrospective Inverse Problem of Heat Conduction with the Help of the Poisson Integral

被引：0

作者：

Vasil’ev V.I. ^{[1
]}

Kardashevskii A.M. ^{[1
]}

机构：

[1] Ammosov North-Eastern Federal University, ul. Belinskogo 58, Yakutsk

来源：

Journal of Applied and Industrial Mathematics | 2018年 / 12卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

heat conduction equation; integral equation; numerical method; Poisson integral; random errors; retrospective inverse problem of heat conduction; system of linear equations;

D O I：

10.1134/S1990478918030158

中图分类号：

学科分类号：

摘要：

We consider the retrospective inverse problem that consists in determining the initial solution of the one-dimensional heat conduction equation with a given condition at the final instant of time. The solution of the problem is given in the form of the Poisson integral and is numerically realized by means of a quadrature formula leading to a system of linear algebraic equations with dense matrix. The results of numerical experiments are presented and show the efficiency of the numerical method including the case of the final condition with random errors. © 2018, Pleiades Publishing, Ltd.

引用

页码：577 / 586

页数：9

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