The accuracy of some first-and second-order methods for solving the time-dependent one-dimensional constant-coefficient advection-diffusion equation are compared theoretically on the basis of the dominant error terms in their modified equivalent partial differential equations. A new very stable thre
A compact unconditionally stable finite-difference method for transient one-dimensional advection-diffusion
✍ Scribed by Noye, B. J.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1991
- Tongue
- English
- Weight
- 622 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0748-8025
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract This paper is concerned with accurate and efficient numerical methods for solving parabolic differential equations. A compact locally one‐dimensional finite difference method is presented, which has second‐order accuracy in time and fourth‐order accuracy in space with respect to discret
## Abstract The advection‐diffusion equation has a long history as a benchmark for numerical methods. Taylor‐Galerkin methods are used together with the type of splines known as B‐splines to construct the approximation functions over the finite elements for the solution of time‐dependent advection‐
An artificial-viscosity finite-difference scheme is introduced for stabilizing the solutions of advectiondiffusion equations. Although only the linear one-dimensional case is discussed, the method is easily susceptible to generalization. Some theory and comparisons with other well-known schemes are