Sentence examples for using an analytical solution from inspiring English sources

Solute and bacteriophage responses were modelled using an analytical solution to the advection dispersion equation, with first-order kinetic deposition simulating bacteriophage attenuation.

The numerical model was verified for limiting cases using an analytical solution.

In this section, we test the accuracy of the improved 2-D FEM forward code using an analytical solution.

The resulting breakthrough curves are analyzed using an analytical solution of the heat transport equation.

This behavior was modeled using an analytical solution based on Fick's second law of diffusion.

The characteristic length is then calculated from the flux at the surface using an analytical solution.

WetUp uses an analytical solution to calculate the wetted perimeter for both buried and surface emitters.

We then propose a novel method that uses an analytical solution of the sensor fusion problem and purely horizontal magnetometer-based corrections.

Since Tephra2 uses an analytical solution to the advection-diffusion-equation that solves the differential equation using a constant elevation boundary condition, calculations must be performed on flat surfaces and topography is neglected (Lim et al. 2008).

The Tephra2 model (Bonadonna et al. 2005, 2012; Connor and Connor 2006; Volentik et al. 2009) uses an analytical solution of the advection diffusion equation to compute the tephra mass accumulation depending on eruptive and wind conditions.

Here the authors examine subsurface Hertzian stresses between contacting spheres, using an analytical stress solution, to investigate their applicability to predicting and characterizing crack size and shape.