Driven by the advancement of industrial mathematics and the need for impact case studies,
Inverse Problems with Applications in Science and Engineering thoroughly examines the …

The present study recovers a time-dependent heat source H (t) in ut (x, t)= u xx (x, t)+ H (t),
under measured initial heat flux, and Cauchy boundary conditions. The supplementary initial …

In this paper, the inverse heat conduction problem governed by sideways heat equation is
investigated numerically. The problem is ill-posed because the solution, if it exists, does not …

A classical physical example of the sideways heat equation is represented by re-entry
vehicles in the atmosphere where the temperature at the nozzle of a rocket is so high that …

We consider a steady state heat conduction problem in a thin plate. In the application, it is
used to connect two cylindrical containers and fix their relative positions. At the same time it …

A shielded thermocouple is a measurement device used for monitoring the temperature in
chemically, or mechanically, hostile environments. The sensitive parts of the thermocouple …

In a lot of engineering applications, one has to recover the temperature of a heat body
having a surface that cannot be measured directly. This raises an inverse problem of …

In a lot of engineering applications, one has to recover the temperature of a heat body
having a surface that cannot be measured directly. This raises an inverse problem of …

We recover an unknown initial temperature for a nonlinear heat conduction equation ut (x,
t)= uxx (x, t)+ H (x, t, u, ux), under the Cauchy boundary conditions specified on the left …

We consider solving a severely ill-posed problem for determining the surface temperature
and heat flux distribution of the nonhomogeneous sideways heat equation by a quasi …