Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition

被引：14

作者：

Baglan, Irem ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, Kocaeli, Turkey

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2015年 / 23卷 / 05期

关键词：

integral overdetermination condition; periodic boundary conditions; inverse problem; quasilinear parabolic equation; time-dependent coefficient; TIME-DEPENDENT COEFFICIENT; PARTIAL-DIFFERENTIAL-EQUATION; INVERSE PROBLEM; PARAMETER; SUBJECT;

D O I：

10.1080/17415977.2014.947479

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.

引用

页码：884 / 900

页数：17

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