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.
| Original language | English |
|---|---|
| Pages (from-to) | 387-404 |
| Number of pages | 18 |
| Journal | Mathematics and Computers in Simulation |
| Volume | 57 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2001 |
Bibliographical note
Funding Information:The research of J. Zhang was supported in part by the US National Science Foundation under Grants CCR-9902022, CCR-9988165, and CCR-0043861.
Keywords
- Crank-Nicholson technique
- Finite difference scheme
- Heat transport equation
- Preconditioned conjugate gradient
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science (all)
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics