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- W2762783184 abstract "A class of models of heat transfer processes in a multilayer domain is considered. The governing equation is a nonlinear heat-transfer equation with different temperature-dependent densities and thermal coefficients in each layer. Homogeneous Neumann boundary conditions and ideal contact ones are applied. A finite difference scheme on a special uneven mesh with a second-order approximation in the case of a piecewise constant spatial step is built. This discretization leads to a pentadiagonal system of linear equations (SLEs) with a matrix which is neither diagonally dominant, nor positive definite. Two different methods for solving such a SLE are developed - diagonal dominantization and symbolic algorithms." @default.
- W2762783184 created "2017-10-20" @default.
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- W2762783184 date "2018-01-01" @default.
- W2762783184 modified "2023-09-27" @default.
- W2762783184 title "Effective Methods for Solving Band SLEs after Parabolic Nonlinear PDEs" @default.
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- W2762783184 doi "https://doi.org/10.1051/epjconf/201817707004" @default.
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