KIAM Main page Web Library  •  Publication Searh  Русский 

KIAM Preprint № 139, Moscow, 2019
Authors: Shilnikov E.V., Bozorov O.N.
Numerical investigation of the accuracy and stability properties of the flux relaxation method
The computational properties of the flux relaxation method is studied on the example of a numerical solution of the quasi linear heat conduction equation. The accuracy of the obtained solution is analyzed depending on the step of difference grid and relaxation parameter for schemes of the first and second order approximation in time. It was experimentally confirmed that both of these variants of the method have the stability condition of the Courant type. It is concluded that on not the coarsest grids, increasing the time approximation order does not give advantages either in terms of the accuracy of the solution or in the sense of the algorithm stability.
flux relaxation method, approximation, stability condition, solution accuracy
Publication language: russian,  pages: 12
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 7 (+7), total hit from 27.12.2019 — 178
About authors:
  • Shilnikov Evgeny Vladimirovich, RAS
  • Bozorov Obidjon Norkobilovich,  ,  National University of Uzbekisnan named after Mirzo Ulugbek