A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids
S. B. Sorokin1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva, 6, Novosibirsk, 630090, Russia
2Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia
Keywords: задача теплопроводности, математическая модель, дискретный аналог, несогласованная сетка, сходимость, разностная схема, problem of heat conductivity, mathematical model, discrete analog, non-matching grid, convergence, difference scheme
Abstract
On non-matching grids discrete analogue conjugate-operator models of heat conduction, keeping the structure of the original model are constructed. Numerical experiments show that the difference scheme converges with second order of accuracy for the case of discontinuous parameters of the medium in the Fourier law and non-uniform grids.
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