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

Baglan I.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, vol.23, no.5, pp.884-900, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1080/17415977.2014.947479
  • Journal Name: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.884-900
  • Keywords: integral overdetermination condition, periodic boundary conditions, inverse problem, quasilinear parabolic equation, time-dependent coefficient, TIME-DEPENDENT COEFFICIENT, PARTIAL-DIFFERENTIAL-EQUATION, INVERSE PROBLEM, PARAMETER, SUBJECT
  • Kocaeli University Affiliated: Yes

Abstract

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.