On stable and explicit numerical methods for the advection–diffusion equation
✍ Scribed by Marcin L. Witek; Joao Teixeira; Piotr J. Flatau
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 367 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0378-4754
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In a recent paper [E. Defez, R. Company, E. Ponsoda, L. Jódar, Aplicación del método CE-SE a la ecuación de adveccióndifusión con coeficientes variables, Congreso de Métodos Numéricos en Ingenierá (SEMNI), Granada, Spain, 2005] a modified space-time conservation element and solution element scheme f
Simple, mesh=grid free, explicit and implicit numerical schemes for the solution of linear advection-di usion problems is developed and validated herein. Unlike the mesh or grid-based methods, these schemes use well distributed quasi-random points and approximate the solution using global radial bas
## Abstract This paper describes a simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation using a transmission‐line modelling (TLM) method. The paper also shows that the explicit finite difference routine and the implicit Crank–Nicolson routine may b