Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation

被引：1

作者：

Denisov, A. M. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119999, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 05期

关键词：

integro-differential heat equation; singular perturbation; inverse problem; approximate solution; HYPERBOLIC EQUATION;

D O I：

10.1134/S0965542523050081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers an inverse problem for a singularly perturbed integro-differential heat equation, which consists in determining the boundary condition from additional information on the solution of the initial-boundary value problem. It is proved that an approximate solution of the inverse problem can be obtained by using a finite number of terms in the expansion of the solution of the initial-boundary value problem in a small parameter.

引用

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页码：837 / 844

页数：8

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