Numerical stability of the classical and the modified Saul'yev's finite-difference methods

Towler B.F. and Yang R.Y.K. (1978) Numerical stability of the classical and the modified Saul'yev's finite-difference methods. Computers and Chemical Engineering, 2 1: 45-51. doi:10.1016/0098-1354(78)80006-4


Author Towler B.F.
Yang R.Y.K.
Title Numerical stability of the classical and the modified Saul'yev's finite-difference methods
Journal name Computers and Chemical Engineering   Check publisher's open access policy
ISSN 0098-1354
Publication date 1978-01-01
Sub-type Article (original research)
DOI 10.1016/0098-1354(78)80006-4
Open Access Status Not yet assessed
Volume 2
Issue 1
Start page 45
End page 51
Total pages 7
Subject 1500 Chemical Engineering
2207 Control and Systems Engineering
Abstract Stability criteria a modified Saul'yev's explicit method for parabolic partial differential equations are derived and compared with those of classical Saul'yev's explicit method and Crank-Nicholson's implicit method. The two Saul'yev methods operated in the averaging mode are found to be unconditionally stable with respect to the heat equation. However, when lower order terms are included in the linear test equation, the modified method is shown to have a greater stability region than the classical method, while the Crank-Nicholson method maintains its stability unconditionally. Results of numerical experiments confirm the validity of the derived criteria.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 5 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 30 Aug 2016, 11:37:38 EST by System User