This paper aims to present a review of the current computational methods and applications
of inverse heat conduction problems (IHCPs) in different fields. Generally speaking, there …

In this paper, we consider an inverse reaction–diffusion–convection problem in which one of
the boundary conditions is unknown. A sixth-kind Chebyshev collocation method will be …

In this study, we consider a two-dimensional inverse heat conduction problem, which
determines the surface temperature and heat flux distribution from measured data at the …

This paper has focused on unknown functions identification in nonlinear boundary
conditions of an inverse problem of a time‐fractional reaction–diffusion–convection …

For fractional inverse heat conduction problem (FIHCP), this paper introduces a numerical
study. For the proposed FIHCP, in addition to the unknown function of temperature, the …

This paper studies a time-fractional inverse heat conduction problem for identifying unknown
Robin coefficients in the boundary conditions. This inverse problem is generally ill-posed …

In this paper, we investigate a spherically symmetric inverse heat conduction problem, which
determines the internal surface temperature distribution of the hollow sphere from measured …

We consider an axisymmetric inverse problem for the heat equation inside the cylinder a≤
r≤ ba≦r≦b. We wish to determine the surface temperature on the interior surface r= a {r=a\} …

We consider a two-dimensional time fractional diffusion equation and address the important
inverse problem consisting of the identification of an ingredient in the source term. The …

This study deals with the numerical investigation of a mathematical model of breast cancer
at the initial growth stage known as ductal carcinoma in situ. This model considered as an …