Resumen
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.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 387-404 |
| Número de páginas | 18 |
| Publicación | Mathematics and Computers in Simulation |
| Volumen | 57 |
| N.º | 6 |
| DOI | |
| Estado | Published - 2001 |
Nota bibliográfica
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.
Financiación
The research of J. Zhang was supported in part by the US National Science Foundation under Grants CCR-9902022, CCR-9988165, and CCR-0043861.
| Financiadores | Número del financiador |
|---|---|
| US National Science Foundation | CCR-9902022, CCR-0043861, CCR-9988165 |
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics
Huella
Profundice en los temas de investigación de 'Iterative solution and finite difference approximations to 3D microscale heat transport equation'. En conjunto forman una huella única.Citar esto
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver