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Fractional order diffusion equations are generalizations of classical diffusion equations, treating super-diffusive flow processes.
According to these SPR data, the kinetics of ligand binding for both LS-D1C and GGR-Q26C are governed by irreversible first order diffusion limited Langmuir model.
Fractional partial order diffusion equations are a generalization of classical partial differential equations, used to model anomalous diffusion phenomena.
The solution of a Caputo time fractional diffusion equation of order 0<α<1 is expressed in terms of the solution of a corresponding integer order diffusion equation.
Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are used in modeling practical superdiffusive problems in fluid flow, finance and others.
Gradient schemes is a framework which enables the unified convergence analysis of many different methods–such as finite elements (conforming, non-conforming and mixed) and finite volumes methods for 2nd order diffusion equations.
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Pskhu [16] obtained fundamental solutions of a fractional order diffusion-wave equation.
This approximation is reasonable in the presence of a large number of diffusive reflections, but tends to become a bit restrictive when considering first-order diffusion only (i.e., ignoring diffusion of diffused paths).
The main difference between binary and higher-order diffusion is that the diffusional interactions among the various (n−1) independent diffusing species need to be considered in the complete description of the interdiffusion process in multicomponent systems.
Swelling kinetics presented good agreement with a second-order diffusion process in all media.
The presented technique can be generalized to the higher-order diffusion processes.
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