The investigation is performed by using a numerical solution approach.
These solutions allow for the direct calculation of optimal parameter values without the need to perform an exhaustive parametric study using a numerical solution.
The influence of partial saturation of the mineral barrier is investigated using a numerical solution to the Richards equation for unsaturated flow.
2) Simulation of EM induction by spherical harmonic sources, for a set of logarithmically spaced frequencies ω j, using a numerical solution (Kuvshinov, 2008) based on a contracting integral equation approach (Pankratov et al., 1995).
The interfacial rate expression above is determined as free from diffusional contributions by using a numerical solution to model mass transfer with interfacial reaction in the LJRR.
Range ρ ̂ and DOA θ ̂ estimated in the previous section are used to initialize an iterative algorithm to improve the estimation accuracy, using a numerical solution to minimize a non-linear function with a set of parameters, like the Levenberg-Marquardt algorithm (LMA) [28].
Experimental results were simulated using a numerical solution to an advective dispersive model in which mass transfer between the NAPL and the aqueous phase was approximated using a dual-resistance approach consisting of a boundary layer mass transfer resistance and a diffusional resistance within the NAPL.
Using a numerical solution of the Richards' equation in a stochastic framework, the ensemble characteristics and flow dynamics were studied for drying and wetting processes observed during a time interval of ten days when a series of relatively intense rainfall events occurred.
The intrinsic rate equations for steam-methane reforming (RF) and shift (SF) reaction were determined by the calculation of mass and heat balances considering interphase and intraphase diffusions using a numerical solution of the non-linear two-point boundary value problem.
For both cases, we update the continuous variables to the values for the new time by using a numerical solution algorithm for ordinary differential equations (Euler, Runge-Kutta, etc).
