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
Adomian’s decomposition method for solving 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
- 889 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 exact solution.
📜 SIMILAR VOLUMES
In this work, an analytical technique, namely the homotopy analysis method (HAM), is applied to obtain an approximate analytical solution of the Fornberg-Whitham equation. A comparison is made between the HAM results and the Adomian's decomposition method (ADM) and the homotopy perturbation method (
A particular PDE having nonlinear advection, diffusion and reaction subject to initial and boundary conditions is investigated by using an algorithm based on Adomian decomposition method. This algorithm uses initial and boundary conditions simultaneously and effectively for constructing the solution