Sign in
Back
Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
Journal article   Peer reviewed

Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time

Mokhtar Kirane and Salman A. Malik
Applied mathematics and computation, Vol.218(1), pp.163-170
01/09/2011
DOI: https://doi.org/10.1016/j.amc.2011.05.084

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the inverse problem of finding the temperature distribution and the heat source whenever the temperatures at the initial time and the final time are given. The problem considered is one dimensional and the unknown heat source is supposed to be space dependent only. The existence and uniqueness results are proved. (C) 2011 Elsevier Inc. All rights reserved.

Metrics

1 Record Views

Details