Abstract In this paper, the general and supplementary conditions are used to determine inverse heat conduction in parabolic equation. The measured ensure that problem has a unique solution, but solution is not stable, so ill-posed. Using boundary element method discretize original problem, it solve problem. On basis, direct method, least square regular tried. Finally, minimal energy system. Num...

we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

Abstract In this paper, the heat conduction equation for composite materials posed and solved. The inverse Boundary Value Problem (BVP) described By studying solving direct problem in materials, we can determine function spaces solve problem. Sturm-Liouville method was used to by reduce it integral first kind. value be formulated as an kind equations. discretization algorithm applied reformulat...

in this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. we identify the temperature and the unknown radiation tern from an overspecified condition on the boundary

In this article, we consider an inverse heat conduction problem in one-dimensional space with two unknown terms. In this problem, the initial temperature and histories of temperature in the finite interval of time, may be determined. Then, by using a semi-implicit finite difference method, an estimation of these unknown terms will be found. Obviously, this problem is ill-posed. But by applying ...

By using the numerical inverse Laplace transform based on modified Prudnikov formula, we construct solution of a nonstationary problem heat conduction for thermally sensitive half space operating in contact with layer under conditions convective exchange medium constant temperature. The thermoelastic state this piecewise homogeneous structure is investigated case where temperature kept surface.