Sentence examples for backward heat conduction problem from inspiring English sources

The temperature distribution for all times, t < T0, is now required and this backward heat conduction problem is a well-known improperly posed problem.

A classical example can be recalled here: the backward heat conduction problem (BHCP).

Fu et al. [30] used it to solve the backward heat conduction problem.

It appears that Showalter in [24] was the first who used the quasi-boundary value regularization method to consider the backward heat conduction problem.

Trong and Tuan in [12] used the method of integral equation to regularize backward heat conduction problem and get some error estimates.

Furthermore, the idea of the above property can be applied to other ill-posed problems such as, e.g., the backward heat conduction problem [23].

The initial value problem is one of the backward heat conduction problems (BHCPs).

A mathematical formulation of the inverse heat conduction problem is presented as well.

Different techniques for the solution of inverse heat conduction problem (IHCP) can be found in literature.

The parameter estimation is performed by solving an inverse heat conduction problem.

First, the original three-dimensional heat conduction problem is reduced to be a two-dimensional thermal cross-sectional analysis along with an optional one-dimensional heat conduction analysis.