SOLUTION OF THE FIRST AND SECOND BOUNDARY-VALUE PROBLEMS 
OF NONSTATIONARY HEAT CONDUCTION FOR A TRIANGULAR REGION
A. D. Chernyshov and O. P. Reztsov

UDC 536

Exact solutions of nonstationary problems of heat 
conduction are constructed in explicit form for a regular triangle 
of height h with Dirichlet and Neumann's boundary conditions and an 
arbitrary initial condition having the property of triple symmetry 
in the region of the triangle. These very solutions remain valid also 
for the region of a rectangular triangle with an acute angle pi/6, 
when there are no heat fluxes on the hypotenuse and smaller side, 
whereas Dirichlet or Neumann boundary conditions are prescribed on 
the larger side. Here, symmetry limitations are not imposed on the 
initial conditions.

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