Combining fractional differential operator with anisotropic diffusion equation
, a denoising algorithm based on adaptive fractional order anisotropic diffusion is put forward.
Assuming diffusion only in the longitudinal direction, the solution to the one-dimensional diffusion equation
, Equation 13, can be extended to rectangular-shaped wood blocks (Kumaran 1999):
The light transport of photons through a biological tissue is established during diffusion equation
Recent analytical solutions of the advection diffusion equation
with dry deposition at the ground have utilized height-dependent wind speed and eddy diffusivities (Horst and Slinn , Koch , Chrysikopoulos et al.
There is already some important progress for the fractional diffusion equation
or advection-diffusion equations
In this work a multi-grid method is developed for the solution of 2D convection diffusion equation
based on fourth order compact scheme.
Luchko, Initial boundary value problems for the one dimensional time-fractional diffusion equation
Analytical-Numerical Solution of a Parabolic Diffusion Equation
Under Uncertainty Conditions Using DTM with Monte Carlo Simulations
for the convection and diffusion equation
are shown in Table 1 (Mora Acosta 2001).
In this case heating relies on the diffusion equation
, which involves the drying rate in the energy balance (Karim and Hawlader, 2005; Mariani et al.
The diffusion equation
, Fick's second law with a constant diffusion coefficient during the wet or dry portion of the cycle, is nondimensionalized.
Tuan (2011) proved that by taking suitable initial distributions only finitely many measurements on the boundary were required to recover uniquely the diffusion coefficient of one dimensional fractional diffusion equation