Reconstruction of spatial heat sources in heat conduction problems

Abstract

In this short article, we consider the problem of recovering unknown spatial heat sources in heat equations. Applying Tikhonov's regularization approach, we define and obtain stable solutions to approximate the unknown sources from overspecified non-smooth data. We will also conduct numerical computations to demonstrate the applicability of our approximation.

Keywords:

• Heat equations
• Inverse problem
• Regularization
• AMS(MOS):
• 35K05
• 35R25