Solution of a fractional transport equation by using the generalized quadratic form
โ Scribed by Abdelouahab Kadem; Dumitru Baleanu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 172 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
โฆ Synopsis
In this manuscript the one dimensional fractional transport equation in which the prescribed source and angular flux are spatially quadratic is investigated within the generalized quadratic form method. It is reported that the angular flux satisfies Fick's law and the corresponding scalar flux satisfies the fractional generalization of the classic diffusion equation.
๐ SIMILAR VOLUMES
A numerical method is developed for solving the optical Bloch equations in the center-of-mass momentum space for a closed V system in a counterpropagating field configuration. The method consists of an iterative procedure based on the matrix continued fraction and a transformation by which the optic
Three different numerical methods are used to solve singularly perturbed Able Volterra integral equation as presented by a fractional differential equation. Convergence and stability analysis together with the results of these methods are compared and contrasted when applied to the high thermal loss