Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions


Ismailov M. I. , Kanca F., Lesnic D.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, pp.4138-4146, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 8
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.09.044
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.4138-4146

Abstract

This paper investigates the inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the Crank-Nicolson finite difference scheme combined with an iterative method are presented and discussed. (C) 2011 Elsevier Inc. All rights reserved.