A simple nonlinear scheme for iterative solution of nonlinear convection-diffusion equation is described. The scheme is tested by solutions of three nonlinear steadystate model equations and linear nonstationary transport equation. The feature of the scheme is transition from a second-order accuracy
Highly accurate method for the convection-diffusion equation
โ Scribed by Ismail, Hassan N. A.; Elbarbary, Elsayed M. E.
- Book ID
- 119957705
- Publisher
- Taylor and Francis Group
- Year
- 1999
- Tongue
- English
- Weight
- 267 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0020-7160
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Some modiยฎed AGE methods for the convectionยฑdiusion equation are developed in this paper. Firstly, there is a treatment on the convection term in the equation which is dierent from that in the AGE method by Evans and Abdullah (1985). Secondly, upwind-type schemes are used for the convection dominate
Difference methods for solving the convection-diffusion equation are discussed. The superiority of Allen's approximation over central or upwind differences for one-dimensional problems is confirmed, the superiority being greatest when the boundary layer is very thin. Higher order methods give improv
The method of lines provides a ยฏexible and general approach for solving time-dependent PDEs. However, the numerical solution of the resulting ODE system can present certain diculties depending on the method used. In particular, oscillations may appear in the solution when standard methods are applie