An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition

BAĞLAN İ., Kanca F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.38, no.5, pp.851-867, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1002/mma.3112
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.851-867
  • Keywords: quasilinear parabolic equation, inverse problem, periodic boundary conditions, finite difference method, integral overdetermination condition
  • Kocaeli University Affiliated: Yes

Abstract

In this paper, the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons, Ltd.