ON ONE METHOD OF SOLVING NONSTATIONARY HEAT-CONDUCTION PROBLEMS FOR MULTILAYER STRUCTURES

As applied to the solution of the heat-conduction problem 
for a two-layer structure, the Fourier method is used jointly with 
the orthogonal Bubnov-Galerkin method. An important feature is 
the introduction of additional boundary conditions, the need for which 
is explained by the appearance of an additional parameter  
after the separation of the variables in the input differential 
equation. The additional boundary conditions are derived from the 
basic differential equation by differentiating it at the boundary 
points.

As applied to the solution of the heat-conduction problem 
for a two-layer structure, the Fourier method is used jointly with 
the orthogonal Bubnov-Galerkin method. An important feature is 
the introduction of additional boundary conditions, the need for which 
is explained by the appearance of an additional parameter  
after the separation of the variables in the input differential 
equation. The additional boundary conditions are derived from the 
basic differential equation by differentiating it at the boundary 
points.