Effective Methods for Solving Band SLE after Parabolic Nonlinear PDEs.

Jul 3, 2017, 5:00 PM
30m

Speaker

Ms Milena Veneva (JINR)

Description

A class of models of heat transfer processes in a multilayer domain was considered. The governing equation (GE) 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 were applied. The aim of this research was to build a finite difference scheme on an uneven mesh with a second-order approximation in some norm in the case of a piecewise constant spatial step. This discretization leads to a pentadiagonal (PD) system of linear equations with a matrix which is neither diagonally dominant, nor positive definite. A tridiagonal (TD) system was obtained, using Gaussian elimination. Two different methods for solving the two linear systems were developed – diagonal dominantization and symbolic algorithms.

Primary authors

Mr Alexander Ayriyan (Laboratory of Information Technologies, JINR) Ms Milena Veneva (JINR)

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