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Consequently, only one of the following interdependent parameters can be prescribed in order to resolve equation (2): FF, substitution flow rate or desired total substitution volume.
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As shown in Figure 1, coefficient matrix K and desired response vector G should be determined before resolving Equation (2).
We can successively obtain F1, F2, F3,... until F n converging to threshold through iterative resolving Equation (19).
Epanet software [17] uses the Lagrangian transport model with an event-driven model [3], whereas Porteau software [16] resolves equations with an Eulerian approach and a time-driven model [9, 12].
To resolve this equation a supposition was made about the pressure distribution along the radius.
String theorists have still not been able to resolve their equations into testable hypotheses.
To determine the optimal switched law only requires resolving matrix equation, and the construction of the equation is very simple and precise.
Also, a 2-D resolution has been proposed in [19] to better assess the mixing at the junction by applying adjoint method and resolving Stokes equation in laminar flow (Reynolds number (Re) < 2000).
The spectrum of numerical approaches for resolving these equations varies from zero coupling to full coupling.
Mathematical model resolved differential equations of chest and lung movements in order to match with a clinical data base.
In these steps, convolution kernel method is adopted to construct coefficient matrix; spectral condition is introduced as an indicating function for ill-posed analysis; and total variation method is used to resolve ill-posed equation for getting filtering vector.
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