An iterative method for finding solutions to problems of heat conduction and diffusion of particles with discontinuous coefficients of the differential operator of the problem
Abstract:
We propose an iterative method for the implementation of highly accurate approximate piecewise smooth solutions to practical problems of heat transfer, diffusion of elementary particles (in particular, neutrons in a nuclear reactor) in multilayer constructions. We create a practical algorithm basing on two theorems.
Keywords:problem with elliptic operator, discontinuous coefficients, piecewise-smooth basis functions, rapidly convergent series, minimization of a quadratic functional.
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