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EXACT FINITE DIFFERENCE SCHEMES FOR TWO-DIMENSIONAL ADVECTION EQUATIONS

✍ Scribed by R.E. Mickens


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
123 KB
Volume
207
Category
Article
ISSN
0022-460X

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📜 SIMILAR VOLUMES


Nonstandard finite difference schemes fo
✍ Ronald E. Mickens 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 48 KB 👁 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

A higher-order predictor–corrector schem
✍ Chuanjian Man; Christina W. Tsai 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB

## Abstract A higher‐order accurate numerical scheme is developed to solve the two‐dimensional advection–diffusion equation in a staggered‐grid system. The first‐order spatial derivatives are approximated by the fourth‐order accurate finite‐difference scheme, thus all truncation errors are kept to

Nonstandard finite difference schemes fo
✍ Ronald E. Mickens 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 270 KB 👁 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