Transformation operators and their applications for modeling in two-layer media
Oleg Emmanuilovich Yaremko, Natalia Yaremko · Global Journal of Mathematical Analysis · 2014
We present a transformation operators method which allows us to interpret piecewise-homogeneous physical processes as a perturbing of a homogeneous ones. The analytical description of mathematical models of thermal conductivity and wave processes for piecewise homogeneous media with °at symmetry is obtained by the developed in this paper transformation operators method. Keywords: Poisson formula, Wave equation, Heat equation, Dirichlet problem, Laplace equation.