Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain
Xiaoxiao Geng, Hao Cheng, Mian Liu
Abstract
In this paper, we consider the inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain. This problem is ill-posed, i.e. the solution of the problem does not depend continuously on the measured data. To solve this problem, we propose an iterative regularization method and obtain the Hölder type error estimates. Numerical examples are presented to demonstrate the effectiveness of the proposed method.
Topics & Concepts
Heat equationInverse problemThermal conductionThermal diffusivityRegularization (linguistics)MathematicsMathematical analysisDomain (mathematical analysis)InverseApplied mathematicsTime domainComputer sciencePhysicsGeometryThermodynamicsComputer visionArtificial intelligenceNumerical methods in inverse problemsThermoelastic and Magnetoelastic PhenomenaNumerical methods in engineering