Iterative solution and finite difference approximations to 3D microscale heat transport equation

Jun Zhang and Jennifer J. Zhao

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 6, 387-404

Abstract: Numerical techniques are proposed to solve a 3D time dependent microscale heat transport equation. A second-order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational procedure is designed to solve the resulting sparse linear system at each time step with a few iterative methods and their performances are compared experimentally. Numerical experiments are presented to demonstrate the accuracy of the finite difference scheme and the efficiency of the proposed computational procedure.

Keywords: Heat transport equation; Finite difference scheme; Preconditioned conjugate gradient; Crank–Nicholson technique (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475401003196
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:6:p:387-404

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().