On One method for the numerical solution of a system of parabolic equations

N. N. Semenova, V. V. Terleev, G. I. Suhoruchenko, E. E. Orlova, N. E. Orlova

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

An algorithm for the numerical solution of a system of two parabolic equations of a special form has been presented, and its stability has been proved. Estimates of the numerical solutions obtained have been made. Conditions guaranteeing the applicability of the sweep method are determined, and the time step at which the iterative method has the inner convergence has been estimated. An example of the application of the algorithm in soil science has been presented.

Original languageEnglish
Pages (from-to)138-146
Number of pages9
JournalVestnik St. Petersburg University: Mathematics
Volume49
Issue number2
DOIs
StatePublished - 1 Apr 2016

Scopus subject areas

  • Mathematics(all)

Keywords

  • iterative procedures
  • monotonicity
  • soil science
  • sweep method
  • weight coefficient

Fingerprint Dive into the research topics of 'On One method for the numerical solution of a system of parabolic equations'. Together they form a unique fingerprint.

Cite this