Anisotropic fractional diffusion equation
โ Scribed by G.A. Mendes; E.K. Lenzi; R.S. Mendes; L.R. da Silva
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 265 KB
- Volume
- 346
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condit
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose a Fourier method for analyzing the stability and convergence of the IDAS, derive the global accuracy
A differential equation for diffusion in isotropic and homogeneous ffactal structures is derived within the context of fractional calculus. It generalizes the fractional diffusion equation valid in Euclidean systems. The asymptotic behavior of the probability density function is obtained exactly and