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KIAM Preprint № 68, Moscow, 2017Revision of ≈≈
Authors: Popov I. V.
Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation
The paper describes the adaptive artificial viscosity (AAV) method applied for simulation of one-dimensional non-linear advection process. A finite difference scheme with high order approximation on time and on space was constructed. The analysis of this scheme on monotone, stability and convergence was provided. The comparison of solution of proposed scheme with exact solution was fulfilled.
nonlinear advection equation, adaptive artificial viscosity, finite difference scheme
Publication language: russian,  pages: 22
Research direction:
Mathematical modelling in actual problems of science and technics
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