๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Adequacy of finite difference schemes for convection-diffusion equations

โœ Scribed by Yair Shapira


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
149 KB
Volume
18
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


AN ACCURATE FINITE DIFFERENCE SCHEME FOR
โœ Ch. H. Bruneau; P. Fabrie; P. Rasetarinera ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 327 KB ๐Ÿ‘ 2 views

Approximating convection-dominated diffusion equations requires a very accurate scheme for the convection term. The most famous is the method of backward characteristics, which is very precise when a good interpolation procedure is used. However, this method is difficult to implement in 2D or 3D. Th

Nonstandard finite difference schemes fo
โœ Ronald E. Mickens ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 270 KB ๐Ÿ‘ 2 views

We construct finite difference schemes for a particular class of one-space dimension, nonlinear reactiondiffusion PDEs. The use of nonstandard finite difference methods and the imposition of a positivity condition constrain the schemes to be explicit and allow the determination of functional relatio

Parallel characteristic finite differenc
โœ Jiansong Zhang; Danping Yang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 329 KB

Based on the overlapping domain decomposition, an efficient parallel characteristic finite difference scheme is proposed for solving convection-diffusion equations numerically. We give the optimal convergence order in error estimate analysis, which shows that we just need to iterate once or twice at

An explicit fourth-order compact finite
โœ Zhang, Jun ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 141 KB ๐Ÿ‘ 2 views

We present an explicit fourth-order compact ยฎnite dierence scheme for approximating the threedimensional convectionยฑdiusion equation with variable coecients. This 19-point formula is deยฎned on a uniform cubic grid. We compare the advantages and implementation costs of the new scheme with the standar

Nonstandard finite difference schemes fo
โœ Ronald E. Mickens ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 48 KB ๐Ÿ‘ 2 views

We extend previous work on nonstandard finite difference schemes for one-space dimension, nonlinear reaction-diffusion PDEs to the case where linear advection is included. The use of a positivity condition allows the determination of a functional relation between the time and space step-sizes, and p