In this paper, a high-order exponential (HOE) scheme is developed for the solution of the unsteady one-dimensional convection-diffusion equation. The present scheme uses the fourth-order compact exponential difference formula for the spatial discretization and the (2, 2) Padรฉ approximation for the t
Exponential difference schemes with double integral transformation for solving convection-diffusion equations
โ Scribed by S. V. Polyakov
- Book ID
- 120670181
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2013
- Tongue
- English
- Weight
- 155 KB
- Volume
- 5
- Category
- Article
- ISSN
- 2070-0482
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๐ SIMILAR VOLUMES
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
In this paper, we use a semi-discrete and a padรฉ approximation method to propose a new difference scheme for solving convection-diffusion problems. The truncation error of the difference scheme is O(h 4 + ฯ 5 ). It is shown through analysis that the scheme is unconditionally stable. Numerical experi