This paper is concerned with a model that describes the intermediate process between advection and dispersion via fractional derivative in the Caputo sense. Adomian's decomposition method is used for solving this model. The solution is obtained as an infinite series which always converges to the exa
A numerical algorithm for the solution of an intermediate fractional advection dispersion equation
✍ Scribed by A.M.A. El-Sayed; S.H. Behiry; W.E. Raslan
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 260 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
One of the main applications of fractional derivative is in the modeling of intermediate physical processes. In this work, the methodology of fractional calculus is used to model the intermediate process between advection and dispersion as an initial-boundary-value problem for a partial differential equation of fractional order with one spatial variable and constant coefficients. A numerical algorithm based on symbolic computations for the solution of the problem is suggested and tested with good results.
📜 SIMILAR VOLUMES
Finite element computations for singularly perturbed convection-diffusion equations have long been an attractive theme for numerical analysis. In this article, we consider the singularly perturbed fractional advection-dispersion equation (FADE) with boundary layer behavior. We derive a theoretical e
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